P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?
Correct Answer: 64 days
Explanation:
(P+Q)'s 1 day work = 1/24
P's 1 day work = 1/32
=> Q's 1 day work = 1/24 - 1/32 = 1/96
Work done by (P+Q) in 8 days = 8/24 = 1/3
Remainining work = 1 - 1/3 = 2/3
Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.
