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Question

A and B can do a piece of work in 45 days and 40 days respectively. They begin together but A leaves after some days and B completes the rest in 23 days. For how many days did A work ?

A
6 days
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B
9 days
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C
8 days
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D
12 days
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Solution

The correct option is A 9 days

A's one day's work =145

B's one day's work =140

(A+B)'s 1 day's work =145+140=8+9360=17360

Work done by B in 23 days =140×23=2330
Remaining work =12340=402340=1740
(A+B)'s 1 day work =17360
1740 work done by (A+B) in 1×36017×1740=9 Days


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