Question
Pawan completes in two days the same amount of work that
Qureshi completes in four days. Pawan alone can finish the entire task in 15 days. How many days will it take for Pawan and Qureshi to complete the entire task if they work together?Solution
ATQ, ‘Pawan’ is twice as efficient as ‘Qureshi’. Let efficiency of ‘Qureshi’ be ‘q’ units per days and efficiency of ‘Pawan’ be ‘p’ units/day Therefore, p = 2q Let ‘Pawan’ and ‘Qureshi’ together takes ‘d’ days to complete the work Therefore, (p × 15) = (p + q) × d Or, 2q × 15 = 3q × d Or, d = 10 days
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