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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 12hours 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?
- 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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Most Upvoted Answer
P, Q, R and S are working on a project. Q can finish the task in 25 da...
Given:
- 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.
To find:
The ratio of work done by Q and R after 7 days from the start of the project.
Solution:
Step 1: Calculate the total work:
Since Q can finish the task in 25 days by working 12 hours a day, the total work can be calculated as:
Total work done by Q = Q's efficiency * Q's working hours * Q's total days
Total work done by Q = 1/25 * 12 * 25 = 12 units
Similarly, since R can finish the task in 50 days by working 12 hours a day, the total work can be calculated as:
Total work done by R = R's efficiency * R's working hours * R's total days
Total work done by R = 1/50 * 12 * 50 = 12 units
So, the total work required to complete the project is 12 units.
Step 2: Calculate the work done by Q and R after 7 days:
Q worked for 7 days, but took sick leave for 2 days, so Q effectively worked for 7 - 2 = 5 days.
Since Q worked for 12 hours a day, the work done by Q after 7 days can be calculated as:
Work done by Q after 7 days = Q's efficiency * Q's working hours * Q's total days
Work done by Q after 7 days = 1/25 * 12 * 5 = 12/5 units
R worked for 7 days, and since R worked for 18 hours a day, the work done by R after 7 days can be calculated as:
Work done by R after 7 days = R's efficiency * R's working hours * R's total days
Work done by R after 7 days = 1/50 * 18 * 7 = 63/25 units
Step 3: Calculate the ratio of work done by Q and R:
Ratio of work done by Q and R = Work done by Q after 7 days / Work done by R after 7 days
Ratio of work done by Q and R = (12/5) / (63/25) = 12/5 * 25/63 = 20/21
Therefore, the ratio of work done by Q and R after 7 days from the start of the project is 20:21 (option C).
- 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.
To find:
The ratio of work done by Q and R after 7 days from the start of the project.
Solution:
Step 1: Calculate the total work:
Since Q can finish the task in 25 days by working 12 hours a day, the total work can be calculated as:
Total work done by Q = Q's efficiency * Q's working hours * Q's total days
Total work done by Q = 1/25 * 12 * 25 = 12 units
Similarly, since R can finish the task in 50 days by working 12 hours a day, the total work can be calculated as:
Total work done by R = R's efficiency * R's working hours * R's total days
Total work done by R = 1/50 * 12 * 50 = 12 units
So, the total work required to complete the project is 12 units.
Step 2: Calculate the work done by Q and R after 7 days:
Q worked for 7 days, but took sick leave for 2 days, so Q effectively worked for 7 - 2 = 5 days.
Since Q worked for 12 hours a day, the work done by Q after 7 days can be calculated as:
Work done by Q after 7 days = Q's efficiency * Q's working hours * Q's total days
Work done by Q after 7 days = 1/25 * 12 * 5 = 12/5 units
R worked for 7 days, and since R worked for 18 hours a day, the work done by R after 7 days can be calculated as:
Work done by R after 7 days = R's efficiency * R's working hours * R's total days
Work done by R after 7 days = 1/50 * 18 * 7 = 63/25 units
Step 3: Calculate the ratio of work done by Q and R:
Ratio of work done by Q and R = Work done by Q after 7 days / Work done by R after 7 days
Ratio of work done by Q and R = (12/5) / (63/25) = 12/5 * 25/63 = 20/21
Therefore, the ratio of work done by Q and R after 7 days from the start of the project is 20:21 (option C).
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Community Answer
P, Q, R and S are working on a project. Q can finish the task in 25 da...
Q's one hour work = 
R's one hour work =
Since Q has taken 2 days sick leave, he has worked only 5 days on the end of seventh day.
Work completed by Q on 7th day= (5x12)
Work completed by R on 7th day=(7x18)
Ratio of their work
=
R's one hour work =
Since Q has taken 2 days sick leave, he has worked only 5 days on the end of seventh day.
Work completed by Q on 7th day= (5x12)
Work completed by R on 7th day=(7x18)
Ratio of their work
=
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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 12hours 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?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 12hours 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?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 12hours 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?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 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer?.
P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12hours 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?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 12hours 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?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 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer?.
Solutions for P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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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 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer?, a detailed solution for P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12hours 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?a)10:11b)11:10c)20:21d)21:20Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
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