A can do 2/3 of a certain work in 12 days and B can do 1/6 of the same work in 4 days. Both A and B together can complete the work in
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Time taken by both A and B to complete full work will be 10(2/7) days
Step-by-step explanation:
A can do 2/3 of the work in 12 days
=> A can do full work in = 12 x 3/2 = 18 days
=> work done by A in one day = 1/18
B can do 1/6 of work in 4 days
=> B can do full work in = 4 x 6 = 24 days
=> work done by B in one day = 1/24
Hence work done by both A and B in one day together
= 1/18 + 1/24
= 7/72
So time taken by both A and B to complete full work = 72/7 = 10(2/7) days
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