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Question 71
A person P can complete a work in 40 days . A second person Q can complete the same work in 35 days. Both P and Q work together for 14 days and then P goes away. The number of days that Q takes to complete the remaining work is
Solution
Let total work be 280 units. Hence, P completes 7 units/day and Q completes 8 units/day
Total work done per day working together = 15 units
Total work done in 14 days together = 15*14 = 210 units
Remianing work = 70 units
Time taken by Q to complete work = 70/8 days
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