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
Answers
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:
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