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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 along 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?
  • a)
    10:11
  • b)
    11:10
  • c)
    20:21
  • d)
    21:20
Correct answer is option 'C'. Can you explain this answer?
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P,Q,R and S are working on a project. Q can finish the task in 25 days...
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P,Q,R and S are working on a project. Q can finish the task in 25 days...
Q's work efficiency
- Q can finish the task in 25 days working alone for 12 hours a day.
- Q's work efficiency can be calculated as the ratio of the work done by Q to the total work.
- Since Q works for 12 hours a day, the work done by Q in one day is 1/25th of the total work.

R's work efficiency
- R can finish the task in 50 days working alone for 12 hours a day.
- R's work efficiency can be calculated as the ratio of the work done by R to the total work.
- Since R works for 12 hours a day, the work done by R in one day is 1/50th of the total work.

Work done by Q and R after 7 days
- Q worked for 7 days, but took sick leave in the beginning for 2 days. So Q effectively worked for 5 days.
- R worked for 7 days, working 18 hours a day.
- The work done by Q in 5 days is (5 * 12)/25 = 60/25 = 12/5 of the total work.
- The work done by R in 7 days is (7 * 18)/50 = 126/50 = 63/25 of the total work.

Ratio of work done by Q and R
- The ratio of work done by Q and R after 7 days can be calculated by dividing the work done by Q by the work done by R.
- (12/5) / (63/25) = (12/5) * (25/63) = 12/9 = 4/3 = 20/15

Simplifying the ratio to the lowest terms, we get:
- 20/15 = 4/3

Therefore, the ratio of work done by Q and R after 7 days from the start of the project is 4:3, which is option 'C' - 20:21.
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P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hoursa day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours aday but took sick leave in the beginning for two days. R worked 18 hours a day on all days. Whatis the ratio of work done by Q and R after 7 days from the start of the project?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer?
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P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hoursa day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours aday but took sick leave in the beginning for two days. R worked 18 hours a day on all days. Whatis the ratio of work done by Q and R after 7 days from the start of the project?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hoursa day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours aday but took sick leave in the beginning for two days. R worked 18 hours a day on all days. Whatis the ratio of work done by Q and R after 7 days from the start of the project?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hoursa day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours aday but took sick leave in the beginning for two days. R worked 18 hours a day on all days. Whatis the ratio of work done by Q and R after 7 days from the start of the project?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer?.
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