Question

A and B together can compete a picee a work in 16 days . B alone can complete the same work in 24 days . In how many days can A alone complete the same work?

Answer 1

I think 48 days..........

Answer 2

Answer:

A alone can complete the same work in 48 days.

Step-by-step explanation:

Let A along can complete the work is a days.

The part of work done by A in one day is $\frac{1}{a}$.

B alone can complete the same work in 24 days .

The part of work done by B in one day is $\frac{1}{24}$.

A and B together can compete a picee a work in 16 days .

The part of work done by A and B together in one day is $\frac{1}{16}$.

$\frac{1}{a}+\frac{1}{24}=\frac{1}{16}$

$\frac{1}{a}=\frac{1}{16}-\frac{1}{24}$

$\frac{1}{a}=\frac{3-2}{48}$

$\frac{1}{a}=\frac{1}{48}$

$a=48$

Therefore A alone can complete the same work in 48 days.