Question

three pumps working 8 hours a day can empty a tank in 2 days. how many hours a day must 4 pumps work to empty the tank in 1 day?

Answer 1

4/3×1/2×8=16/3
or15 1/3

15 1/3 hours I think it's right

Answer 2

The number of hours in  a day  4 pumps must work to empty the tank in 1 day is 12 hours.

Step-by-step explanation:

Given:

Three pumps working 8 hours a day can empty a tank in 2 days.

To Find:

The number of hours in  a day  4 pumps must work to empty the tank in 1 day.

Solution:

As given,three pumps working 8 hours a day can empty a tank in 2 days.

3 pumps working in 2 days $=8\times2= 16 \ hours$

It means  3 pumps  can empty a tank in 16 hr .

3 pumps 1 hour work $=\frac{1}{16}$

1 pumps  1 hour work $=\frac{1}{3\times16}$

4 pumps  1 hour work $=4\times \frac{1}{3\times16}$

                                     $=\frac{4}{3\times 16} =\frac{1}{12}$

Hence, 4 pumps  will empty the tank in 12 hours.

Thus, the number of hours in  a day  4 pumps must work to empty the tank in 1 day is 12 hours.

# SPJ3