Question

A and b can do a piece of work in 4 days .if a alone can do it in 6 days in how many days can b do it ?

Answer 1

A and B can do a piece of work in 4 days
so, A + B = 4
one day work of A and B
A + B = 1/4................(1)

A alone can do it in 6 days
so, A = 6
one day work of A
A = 1/6..............(2)

substitute (2) in (1)
(1/6) + B = 1/4
B = 1/4 - 1/6
B = (3-2)/12
B = 1/12
one day work of B is 1/12

so, B can finish whole work in 12 days

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