time and work formula - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-formula/ Interview Questions Mon, 06 Sep 2021 05:21:55 +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 formula - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-formula/ 32 32 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 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 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