Question
150 unit of work can be completed by P alone in 25 days.
P started working alone and joined by Q after 15 days such that they completed the remaining work in 6 days. Find the number of days taken by Q to complete the whole work alone.Solution
Let the efficiency of Q = x units/day Efficiency of P = (150/25) = 6 units/day According to question: 6 × 15 + (6 + x) × 6 = 150 Or, 90 + 36 + 6x = 150 Or, 6x = 150 – 126 Or, 6x = 24 Or, x = 4 Number of days taken by Q to complete the work alone = (150/4) = 37.5 days
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