Tick (✓) the correct answer:
A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?
(a) 5 days
(b) 6 days
(c) 8 days
(d) 9 days

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Solution

(b) 6 days

$A can do a work in 10 days . A' s 1 day work = \frac{1}{10} B can do a work in 15 days . B' s 1 day work = \frac{1}{15} (A + B)' s 1 day work = \frac{1}{10} + \frac{1}{15} = \frac{5}{30} = \frac{1}{6} A and B together will take 6 days to complete the work .$

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A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?

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Tick (✓) the correct answer: A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work? (a) 5 days (b) 6 days (c) 8 days (d) 9 days

(b) 6 days ​A can do a work in 10 days.A's 1 day work = 110B can do a work in 15 days.B's 1 day work = 115(A+B)'s 1 day work = 110+115=530=16A and B together will take 6 days to complete the work.

Tick (✓) the correct answer:
A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?
(a) 5 days
(b) 6 days
(c) 8 days
(d) 9 days

(b) 6 days

$A can do a work in 10 days . A' s 1 day work = \frac{1}{10} B can do a work in 15 days . B' s 1 day work = \frac{1}{15} (A + B)' s 1 day work = \frac{1}{10} + \frac{1}{15} = \frac{5}{30} = \frac{1}{6} A and B together will take 6 days to complete the work .$