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R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work?
Most Upvoted Answer
R takes 5 times the time taken by P to do a certain work.P takes half ...
Given Information:
- R takes 5 times the time taken by P to do a certain work.
- P takes half the time taken by Q to do same work.
- S takes three times the taken by Q to do same work.
- Q, R, and S do (5/16)th, (1/4)th, (3/16)th of the work respectively.
- P does the remaining work.
- The work is completed in 13 days.
Solution:
Let the total work be W and the time taken by Q to do the work be x days. Then, we have:
- R takes 5P days to do the work.
- P takes (1/2)Q days to do the work.
- S takes 3Q days to do the work.
- Therefore, Q does the work in x days.
Then, we can write the following equations:
- (5/16)W = R(13 - (1/2)Q - x - 3Q)
- (1/4)W = (13 - (1/2)Q - x - 3Q)R + P(13 - x - 3Q)
- (3/16)W = (13 - (1/2)Q - x)R + (13 - (1/2)Q - x - 5R)P + S(13 - x)
- W = (13 - (1/2)Q - x - 3Q)R + (13 - x - 3Q)P + (13 - (1/2)Q - x - 5R)S
Solving these equations, we get:
- x = 6 days
- Q takes 12 days
- P takes 6 days
- R takes 30 days
- S takes 18 days
Therefore, P takes 6 days, Q takes 12 days, R takes 30 days, and S takes 18 days to complete the work individually.
Community Answer
R takes 5 times the time taken by P to do a certain work.P takes half ...
P= 24.2days
Q=48.4 days
R=121 days
S=145.2 days?
Q=48.4 days
R=121 days
S=145.2 days?
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R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work?
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R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work?.
R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work?.
Solutions for R takes 5 times the time taken by P to do a certain work.P takes half the time taken by Q to do same work .S takes three times the taken by Q to do same work.Q R AND S do (5/16)th ,(1/4)th , (3/16)th of the work respectively , P does the remaining work .if it takes 13 days to complete the work, one working after the other what will be the number of days taken by P,Q,R,AND S individually to complete the work? in English & in Hindi are available as part of our courses for CAT.
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