Question

P’s 3 days work is equal to Q’s 5 days work. If P and Q together can complete the work in 30 days then how much time Q will take to complete 75% of the work?

A 60 days Correct Answer Incorrect Answer
B 48 days Correct Answer Incorrect Answer
C 36 days Correct Answer Incorrect Answer
D 54 days Correct Answer Incorrect Answer

Solution

Ratio of efficiency of P and Q = 5:3 Let the efficiency of P and Q be 5x and 3x units per day respectively. Total work = 8x × 30 = 240x units Required time = (0.75 × 240x)/3x = 60 days

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