Question

if a and b can do a peice of work in 10 days .and a alone can do the 1/4 of the same work in 12 days. in how much time b alone can do the same work​

Answer 1

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A and B can do a piece of work in 10 days.

Therefore A and B together can do 1/10 of work in one day.

A + B = 1/10…Eq..1

A alone can complete this work in 15 days. Thus A alone can do this work in 1/15.

Substituting the value of work done by A in Eq..1

A + B = 1/10

1/15 + B = 1/10

B = 1/10 - 1/15

B = (3 - 2)/30

B = 1/30

Thus, B can accomplish 1/30 of work in one day.

Accordingly, B alone could complete this work in 30 days.

Answer B alone could complete this work in 30 days.