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P can do a work in the same time in which q and r together can do it . if p and q work together, the work can be completed in 10days . r alone needs 50days to complete the same work . then q alone can do it in
A.30 days
b.25days
c.20 days
d.15 days
answer?
Most Upvoted Answer
P can do a work in the same time in which q and r together can do it ....
Given Information:
- P can do the work in the same time as Q and R together.
- P and Q together can complete the work in 10 days.
- R alone needs 50 days to complete the work.

Calculating Individual Work Rates:
Let's assume the total work is represented by W.
- Let the work rate of P be P, Q be Q, and R be R.
- According to the first statement, P can do the work in the same time as Q and R together, so 1/P = 1/Q + 1/R.
- Given that P and Q together can complete the work in 10 days, their combined work rate is 1/10.
- From the first equation, we know that P = Q + R.
- Substituting P = Q + R into the combined work rate equation, we get 1/(Q + R) = 1/Q + 1/R.
- Simplifying, we get Q = 1/20 and R = 1/20.

Finding Q's work rate:
- Since Q's work rate is 1/20, it means Q can complete the work in 20 days.
Therefore, Q alone can complete the work in 20 days (Option C).
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P can do a work in the same time in which q and r together can do it . if p and q work together, the work can be completed in 10days . r alone needs 50days to complete the same work . then q alone can do it in A.30 days b.25days c.20 days d.15 days answer?
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P can do a work in the same time in which q and r together can do it . if p and q work together, the work can be completed in 10days . r alone needs 50days to complete the same work . then q alone can do it in A.30 days b.25days c.20 days d.15 days answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P can do a work in the same time in which q and r together can do it . if p and q work together, the work can be completed in 10days . r alone needs 50days to complete the same work . then q alone can do it in A.30 days b.25days c.20 days d.15 days answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P can do a work in the same time in which q and r together can do it . if p and q work together, the work can be completed in 10days . r alone needs 50days to complete the same work . then q alone can do it in A.30 days b.25days c.20 days d.15 days answer?.
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