Question
P can complete a job in 30 days. Q alone can complete
the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take for Q to complete the remaining job alone?Solution
P’s 1 day work = 1/30 P’s 18 day work = 18/30 = 3/5 days,Remaininng work = 1 - 3/5 = 2/5 Q’s 1 day work = 1/20 days, Q’s 2/5 day work = 1/20 × 5/2 = 1/8 Q will complete the remaining job alone in 8 days.
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Then, 2x 2 +  1 + x ...
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