time and work solved problems - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-solved-problems/ Interview Questions Mon, 06 Sep 2021 09:19:34 +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 solved problems - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-work-solved-problems/ 32 32 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 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

]]> 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 Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/ https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/#respond Tue, 17 Aug 2021 21:14:29 +0000 https://www.wikitechy.com/interview-questions/?p=1963

Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas ?

A. 70

B. 71

C. 72

D. 69

Answer : D. 69

]]> https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/feed/ 0