GATE ME 2016 Set 1 — Question 10
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General Aptitude → Quantitative Aptitude → Time & Work
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Question
P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?
Correct answer
(C) 20:21
Solution
Let the total work be .
Work done by Q = .
Work done by R = .
1.Calculate the work rates of Q and R:
- Q can finish the task in .
- R can finish the task in .
2.Calculate the work done in 7 days from the start:
- Q took sick leave for the first 2 days, so Q worked for days.
Work done by Q = .
- R worked for all 7 days at 18 hours a day.
Work done by R = .
3.Find the ratio of work done by Q and R:
Ratio = .Therefore, the ratio is 20:21.Continue learning with Success Tracker
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