Question

a swimming pool has 2 pipes one can fill it with water in 32 hours and other can empty it in 12 hrs.hours in how many hours will swimming pool be emptied if both pipes are opened together when 3/8 of the swimming pool is already filled with water

Answer 1

Pipe fill the pool in 32 hours

=> 1 hour = 1/32 of the pool filled

Another pipe empty the pool in 12 hours

=> 1 hour = 1/12 of the pool emptied

When both pipes are active,

⇒ 1 hour = 1/12 - 1/32 = 5/96 of the pool emptied

Find the number of hours to empty the 3/8 filled pool:

5/96 of the pool = 1 hour

1/96 of the pool = 1 ÷ 5 = 1/5 hour

96/96 of the pool = 1/5 x 96 = 96/5 hour

3/8 of the pool = 3/8 x 96/5 = 7.2 hours

Answer: It takes 7.2 hours to empty the pool

Answer 2

Answer:

it takes 7.2 hours to empty the pool

Step-by-step explanation:

Pipe fill the pool in 32 hours

=> 1 hour = 1/32 of the pool filled

Another pipe empty the pool in 12 hours

=> 1 hour = 1/12 of the pool emptied

When both pipes are active,

⇒ 1 hour = 1/12 - 1/32 = 5/96 of the pool emptied

Find the number of hours to empty the 3/8 filled pool:

5/96 of the pool = 1 hour

1/96 of the pool = 1 ÷ 5 = 1/5 hour

96/96 of the pool = 1/5 x 96 = 96/5 hour

3/8 of the pool = 3/8 x 96/5 = 7.2 hours