126 unit of work can be completed by P alone in 21 days. P started working alone and joined by Q after 10 days such that they completed the remaining work in 4 days. Find the number of days taken by Q to complete the whole work alone.
Let the efficiency of Q = x units/day Efficiency of P = (126/21) = 6 units/day According to question: 6 × 10 + (6 + x) × 4 = 126 Or, 60 + 24 + 4x = 126 Or, 4x = 126 – 84 Or, 4x = 42 Or, x = 10.5 Number of days taken by Q to complete the work alone = (126/10.5) = 12 days
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