Question

8. 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?​

Answer 1

Answer:A can finish a piece of work in = 15 daysB can finish a piece of work in = 10 days

Answer 2

Answer:

10 days

Step-by-step explanation:

Given :-

A can finish work in 15 days.

B can finish work in 10 days.

Required:-

In how many days the remaining work can be done by A

Answer :-

work done by A and B in one day

$(a + b) \\ \\ ( \frac{1}{15} + \frac{1}{10} ) \\ \\ \frac{1}{6}$

work done by A and B in two days

$\frac{1}{6} \times 2 \\ \\ \frac{1}{3}$

Remaining work

$1 - \frac{1}{3} \\ \\ \frac{2}{3}$

Now 1/15 is work done by A in one day

So, 2/3 work done by A is

$15 \times \frac{2}{3} \\ \\ 10$

Hence A will finish the remaining work in 10 days