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

A's 1 day's work $= \frac{1}{10}$

B's 1 day's work $= \frac{1}{15}$

$∴$ Both A and B's 1 day's work

$= \frac{1}{10} + \frac{1}{15}$

$= \frac{3 + 2}{30} = \frac{5}{30} = \frac{1}{6}$

$∴$ A and B can do the work in 6 days

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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? (a) 5 days (b) 6 days (c) 8 days (d) 9 days

A's 1 day's work =110 B's 1 day's work =115 ∴ Both A and B's 1 day's work =110+115 =3+230=530=16 ∴ A and B can do the work in 6 days

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

A's 1 day's work $= \frac{1}{10}$

B's 1 day's work $= \frac{1}{15}$

$∴$ Both A and B's 1 day's work

$= \frac{1}{10} + \frac{1}{15}$

$= \frac{3 + 2}{30} = \frac{5}{30} = \frac{1}{6}$

$∴$ A and B can do the work in 6 days