A can complete a work in 10 days while B can do it in 15 days. if A and b worked for 3 days and then B left it find the number of days that A will take to complete the remaining work
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A and B can complete a work in 15 days and 10 days respectively.
The amount of work done by them together in 1 day = 1/15 + 1/10
= (2+3)/30
= 5/30
= 1/6
They worked together for 2 days.
The amount of work done by them together
= 2*(1/6)
= 1/3
The amount of work to be completed by A alone = 1 - 1/3 = 2/3
The number of days taken by A alone to complete the remaining work
= (2/3)/(1/15)
= 30/3
= 10
The whole work was completed in
(2+10) days or 12 days.
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Answer:
12 days
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