Question

if a and b together do a work in 6 days and a alone complete this work in 15 days ,them in how many days will be alone finish the work​

Answer 1

Answer:

15

Because if a do work in 15 days.

B also do the same

Answer 2

Answer:

$a + b \: 1 \: day \: work \: = \frac{1}{6} day \\ a \: 1 \: day \: work \: = \frac{1}{15} day \\ b \: take \: to \: finish \: the \: same \: work \: alone \: \\ = \frac{1}{6} - \frac{1}{15} = \frac{15 \times 1 - 1 \times 6}{6 \times 15} \\ \frac{15 - 6}{90} = \frac{9}{90} \\ therefore \: the \: recipocal \: of \: \frac{9}{90} = \frac{90}{9} = 10days \\ thus \: b \: will \: take \: 10days$

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