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Question

P and Q individually can complete the work in 36 days and 54 days respectively. If the time taken by R alone to complete the work is 1.25 times the time taken by P and Q together to complete the work, find the time taken by R to complete the work while working alone.

A 16.5 days Correct Answer Incorrect Answer
B 19.5 days Correct Answer Incorrect Answer
C 27 days Correct Answer Incorrect Answer
D 28.5 days Correct Answer Incorrect Answer

Solution

Time taken by P and Q together to complete the work = (36 × 54)/ (36 + 54) = 21.6 days Time taken by R alone to complete the work = 1.25 × 21.6 = 27 days

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