time and work problems formulas - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-problems-formulas/ Interview Questions Mon, 06 Sep 2021 05:23:05 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png time and work problems formulas - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-problems-formulas/ 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 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 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 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

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