Question

A and B together can do a piece of work in 10 days but a alone can do it in 15 days how many days would be alone take to do the same work

Answer 1

$\frac{1}{a} + \frac{1}{b} = \frac{1}{10} \\ given \: \frac{1}{a} = \frac{1}{15} \\ so.. \\ \frac{1}{b} = \frac{1}{10} - \frac{1}{15} \\ \: \: \: \: \: \: = \frac{1}{30} \\ so \: b \: does \: in \: 30 \: days$
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Answer 2

1/A + 1 /B = 1 /10
given A alone can do it in 15 days than
1/15 + 1/B = 1/10
1/B = 1/10 -1/15
= 3-2/30
= 1/30
B can do it in 30 days