Time and Work - Wikitechy https://www.wikitechy.com/interview-questions/category/time-and-work/ Interview Questions Mon, 06 Sep 2021 05:23:05 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png Time and Work - Wikitechy https://www.wikitechy.com/interview-questions/category/time-and-work/ 32 32 George does 3/5th of a piece of work in 9 days. He then calls Paul and they finish the work in 4 days. How long would Paul take to do the work by himself ? https://www.wikitechy.com/interview-questions/time-and-work/george-does-3-5th-of-a-piece-of-work-in-9-days-he-then-calls-paul-and-they-finish-the-work-in-4-days-how-long-would-paul-take-to-do-the-work-by-himself/ https://www.wikitechy.com/interview-questions/time-and-work/george-does-3-5th-of-a-piece-of-work-in-9-days-he-then-calls-paul-and-they-finish-the-work-in-4-days-how-long-would-paul-take-to-do-the-work-by-himself/#respond Wed, 18 Aug 2021 03:12:58 +0000 https://www.wikitechy.com/interview-questions/?p=2093

George does 3/5th of a piece of work in 9 days. He then calls Paul and they finish the work in 4 days. How long would Paul take to do the work by himself ?

A . 28

B . 32

C . 30

D . 35

Answer : C . 30

Explanation:

George 9 days work = 3/5
George 1 days work = 3/5 * 9
= 1/15.
George and Paul 4 days work = 2/5
George and Paul 1 days work = 2/5 * 4
= 1/10.
Paul 1 days work = George and Paul 1 days work – George 1 days work
= 1/10 – 1/15
= 1/30

So Paul takes 30 days to complete work.

]]> https://www.wikitechy.com/interview-questions/time-and-work/george-does-3-5th-of-a-piece-of-work-in-9-days-he-then-calls-paul-and-they-finish-the-work-in-4-days-how-long-would-paul-take-to-do-the-work-by-himself/feed/ 0 The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ? https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/ https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/#respond Wed, 18 Aug 2021 03:11:34 +0000 https://www.wikitechy.com/interview-questions/?p=2092

The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?

A. 4.5

B. 5

C. 6

D. 28/3

Answer : C. 6

Explanation:

    • A : C
        • Efficiency of A and C = 5 : 3
        • The Ratio of Work done is 3 : 5 = 3x : 5x
        • Given:
        • Difference between A’s and C’s work done is 6 days so,
        • 5x – 3x = 6
        • x = 3
        • Number of days taken by A = 3 * 3
        • =

      9 Days

        • Number of days taken by C = 5 * 3
        • =

      15 Days

    • B : C
        • Ratio of work done of B and C = 2:3
        • As we have calculated C’s total work done in 15 days so,
        • 3x = 15 days
        • x = 5
        • Therefore, Number of days taken by B = 2 * 5
        • =

      10 Days

        • Now we have total work done by a ,b and c in 9, 10 and 15 days respectively
        • Work done by B and C in initial 2 days = 2 * [ 1/10 + 1/15 ]
        • = 1/3
        • Thus, Remaining work = 1 – 1/3
        • =

      2/3

A do total work in 9 days so, 2/3 work is done in (9 * 2/3) = 6 days

]]> https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/feed/ 0 Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ? https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/ https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/#respond Wed, 18 Aug 2021 03:09:36 +0000 https://www.wikitechy.com/interview-questions/?p=2091

Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?

A. 4/13

B. 8/29

C. 1/3

D. 9/23

Answer : A . 4/13

Explanation:

 

Time Taken by Y = (2 * 100) / 3
= 66.66 unit.

Time taken by Z = (3 * 66.66) / 4
= 50 unit.

Ratio of time of X, Y and Z = 100 : 66.66 : 50

Fraction of work Y do = 66.66 / (100 + 66.66 + 50)
= 0.307
= 4/13.

]]> https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/feed/ 0 A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day ? https://www.wikitechy.com/interview-questions/time-and-work/a-b-and-c-can-do-a-piece-of-work-in-20-30-and-60-days-respectively-in-how-many-days-can-a-do-the-work-if-he-is-assisted-by-b-and-c-on-every-third-day/ https://www.wikitechy.com/interview-questions/time-and-work/a-b-and-c-can-do-a-piece-of-work-in-20-30-and-60-days-respectively-in-how-many-days-can-a-do-the-work-if-he-is-assisted-by-b-and-c-on-every-third-day/#respond Wed, 18 Aug 2021 03:08:04 +0000 https://www.wikitechy.com/interview-questions/?p=2090

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day ?

A. 18

B. 12

C. 15

D. 14

Answer : C. 15

Explanation:

A’s 2 day’s work = 1/20 x 2
= 1/10
(A + B + C) 1 day’s Work = (1/20 + 1/30 + 1/60)
= 6/60
= 1/10
Now,
Work done in 3 days = (1/10) + (1/10)
= 1/5
Now 1/5 work is done in 3 days.
Now whole work will be done in 3 * 5 = 15 days.

]]> https://www.wikitechy.com/interview-questions/time-and-work/a-b-and-c-can-do-a-piece-of-work-in-20-30-and-60-days-respectively-in-how-many-days-can-a-do-the-work-if-he-is-assisted-by-b-and-c-on-every-third-day/feed/ 0 Babla alone can do a piece of work in 10 days ashu alone can do it in 15 days. The total wages for the work in Rs.5000. How much should babla be paid of they work together for entire duration of the work ? https://www.wikitechy.com/interview-questions/time-and-work/babla-alone-can-do-a-piece-of-work-in-10-days-ashu-alone-can-do-it-in-15-days-the-total-wages-for-the-work-in-rs-5000-how-much-should-babla-be-paid-of-they-work-together-for-entire-duration-of-the-w/ https://www.wikitechy.com/interview-questions/time-and-work/babla-alone-can-do-a-piece-of-work-in-10-days-ashu-alone-can-do-it-in-15-days-the-total-wages-for-the-work-in-rs-5000-how-much-should-babla-be-paid-of-they-work-together-for-entire-duration-of-the-w/#respond Wed, 18 Aug 2021 03:06:59 +0000 https://www.wikitechy.com/interview-questions/?p=2089

Babla alone can do a piece of work in 10 days ashu alone can do it in 15 days. The total wages for the work in Rs.5000. How much should babla be paid if they work together for entire duration of the work ?

A. 4000

B. 3000

C. 5000

D. 2000

Answer : B. 3000

Explanation 1:

Babla work = 1/10
Ashu work = 1/15
Total work = 1/10 + 1/15
= 5/30
= 6 days.

Total amount to be paid for Babla = 6/10 * 5000
= 3000

Explanation 2:

Money should always be divided in the inversely proportion way.
So Babla will get money = 15 / (15 + 10) × 5000
= 3000

]]> https://www.wikitechy.com/interview-questions/time-and-work/babla-alone-can-do-a-piece-of-work-in-10-days-ashu-alone-can-do-it-in-15-days-the-total-wages-for-the-work-in-rs-5000-how-much-should-babla-be-paid-of-they-work-together-for-entire-duration-of-the-w/feed/ 0 A Certain sum of money is sufficient to pay either George’s wage for 15 days or Mark’s wages for 10 days. For how long will it be sufficient if both George and Mark work together ? https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/ https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/#respond Wed, 18 Aug 2021 03:05:03 +0000 https://www.wikitechy.com/interview-questions/?p=2088

A Certain sum of money is sufficient to pay either George’s wage for 15 days or Mark’s wages for 10 days. For how long will it be sufficient if both George and Mark work together ?

A. 5

B. 6

C. 8

D. 9

Answer : B. 6

Explanation:

The money can pay George’s wage for 15 days
1 Day = 1/15 of the money

The money can pay Mark’s wage 10 for days
1 Day = 1/10 of the money

Find the Amount of money needed if both of them worked together:
1 Day = 1/15 + 1/10
= 1/6 of the money

Number of days the money can last:
1/6 of the money = 1 day
6/6 of the money = 1 x 6
= 6 days

]]> https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/feed/ 0 A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ? https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/ https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/#respond Wed, 18 Aug 2021 03:03:11 +0000 https://www.wikitechy.com/interview-questions/?p=2087

A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?

A. 1/12

B. 1/8

C. 1/6

D. 1/20

Answer : A. 1/12

Explanation:

A can do the total work in 8 days, and B can do it in 6 days.

Let the total work be 24 units.

Now,
A = 24/8 = 3
B = 24/6 = 4
A + B + C = 24/3 = 8

So Capacity of C = 1 unit.
In two days C will do 2 units which is 2/24th part of the total work. So 1/12th part.

]]> https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/feed/ 0 Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ? https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/ https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/#respond Wed, 18 Aug 2021 03:01:27 +0000 https://www.wikitechy.com/interview-questions/?p=2086

Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?

A. 48

B. 96

C. 24

D. 32

Answer : A. 48

Explanation:

As Jake , Paul and Hari can dig the well in 8 days,
Jack one day work = 1/16
Paul one day work = 1/24
Hari one day work = 1/x

Given,
(Jake, Paul and hari) 1 day work = 1/8

So, 1/16 + 1/24 + 1/x = 1/8
5/48 + 1/x = 1/8
1/x = 1/8 – 5/48
1/x = (6 – 5) / 48
= 1/48
1/x = 1/48

Therefore, Paul can finished work in 48 days.

]]> https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/feed/ 0 Thomas takes 7 days to paint a house completely whereas raj requires 9 days to paint the same house completely. how many days will take to paint the house if both them work together ? https://www.wikitechy.com/interview-questions/time-and-work/thomas-takes-7-days-to-paint-a-house-completely-whereas-raj-requires-9-days-to-paint-the-same-house-completely-how-many-days-will-take-to-paint-the-house-if-both-them-work-together/ https://www.wikitechy.com/interview-questions/time-and-work/thomas-takes-7-days-to-paint-a-house-completely-whereas-raj-requires-9-days-to-paint-the-same-house-completely-how-many-days-will-take-to-paint-the-house-if-both-them-work-together/#respond Wed, 18 Aug 2021 03:00:03 +0000 https://www.wikitechy.com/interview-questions/?p=2085

Thomas takes 7 days to paint a house completely whereas raj requires 9 days to paint the same house completely. how many days will take to paint the house if both them work together ?

A. 3

B. 5

C. 4

D. 8

Answer : C. 4

Explanation:

No. of days taken by Thomas = 7 days.
So work done by thomas in a day = 1/7

No. of days taken by Raj = 9 days.
Work done by other in a day = 1/9

Work done by both in a day = 1/t

1/7 + 1/9 = 1/t
16/63 = 1/t.
16t = 63.
Days required by both (t) = 63/16.

Total no. of days taken to paint the house is (approx.) = 4 days .

]]> https://www.wikitechy.com/interview-questions/time-and-work/thomas-takes-7-days-to-paint-a-house-completely-whereas-raj-requires-9-days-to-paint-the-same-house-completely-how-many-days-will-take-to-paint-the-house-if-both-them-work-together/feed/ 0 4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days ? https://www.wikitechy.com/interview-questions/time-and-work/4-men-can-check-exam-papers-in-8-days-working-5-hours-regularly-what-is-the-total-hours-when-2-men-will-check-the-double-of-the-papers-in-20-days/ https://www.wikitechy.com/interview-questions/time-and-work/4-men-can-check-exam-papers-in-8-days-working-5-hours-regularly-what-is-the-total-hours-when-2-men-will-check-the-double-of-the-papers-in-20-days/#respond Wed, 18 Aug 2021 02:58:28 +0000 https://www.wikitechy.com/interview-questions/?p=2084

4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days ?

A. 8 hours

B. 9 hours

C. 7 hours

D. 11 hours

Answer : A. 8 hours

Explanation:

    • Let a man can do 1 unit of work in 1 hour.
    • Total units of work = 4 * 8 * 5 = 160 units.
    • Now work = 2 * 160 = 320 units
    • Now 2 men work for 20 days. Let in x hours they have to work per day.
    • Now total work = 2 * x * 20 = 40x
    • 40x = 320
    • So x = 320/40
      • =

    8 hours

]]> https://www.wikitechy.com/interview-questions/time-and-work/4-men-can-check-exam-papers-in-8-days-working-5-hours-regularly-what-is-the-total-hours-when-2-men-will-check-the-double-of-the-papers-in-20-days/feed/ 0