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A can do a work in 32 days and B in 40 days. They worked together for 10 days and then B leaves the work. In how many days will A alone finish the remaining work?

A.	12 days	B.	10/3 days
C.	17.5 days	D.	14 days

Answer and Explanation

Answer:14 days

Explanation:
A’s one day work = 1/32 and B’s one day work = 1/40
(A+B)’s one day work = 1/32 + 1/40 = 5+4/160 = 9/160
(A+B)’s 10 days work = 9 × 10 / 160 = 9/16
Remaining work = 1 – 9/16 = 7/16
A will finish the work in 7/16 / 1/32 = 14 days.

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