A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?

Open in App

Solution

A's 1 day work $= \frac{1}{10}$
B's 1 day work $= \frac{1}{15}$
(A+B)'s 1 day work $= \frac{1}{10} + \frac{1}{15}$
$= \frac{3 + 2}{30} = \frac{5}{30}$
$= \frac{1}{6}$
$∴$ Both A and B together can finish the work in = 6 days.

Suggest Corrections

147

Similar questions

A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long will they take to finish it if they work together?

A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaiing work?

Q. A and B can do a piece of work in

8

days and

12

days respectively. How long will they take
to finish it they work together?

Q. A can do a piece of work in 15 days while B can do it in 10 days. how long will they take together to do it?

$A$ can finish a piece of work in $15$ days and $B$ can do it in $10$ days. They worked together for $2$ days and then $B$ goes away. In how many days will $A$ finish the remaining work?

Join BYJU'S Learning Program

A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?

A's 1 day work =110 B's 1 day work =115 (A+B)'s 1 day work =110+115 =3+230=530 =16 ∴ Both A and B together can finish the work in = 6 days.

A's 1 day work $= \frac{1}{10}$
B's 1 day work $= \frac{1}{15}$
(A+B)'s 1 day work $= \frac{1}{10} + \frac{1}{15}$
$= \frac{3 + 2}{30} = \frac{5}{30}$
$= \frac{1}{6}$
$∴$ Both A and B together can finish the work in = 6 days.