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One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank. How long would it take?
One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank?
7 Answers
- !!!Lv 75 years agoFavorite Answer
30/20=1.5 fast tank speed, 1.0 slow tank speed, 30/2.5=12 minutes both pipes
- sepiaLv 75 years ago
One pipe can fill a tank in 20 minutes,
while another takes 30 minutes to fill the same tank.
1/20 + 1/30 = 1/x
How long would it take the two pipes together to fill the tank?
x = 12
It will take 12 minutes.
- PuzzlingLv 75 years ago
Express these each as a rate.
The first pipe fills 1/20 of the tank per minute.
The second pipe fills 1/30 of the tank per minute.
Working together (combining their rates), they take T minutes to fill 1 complete tank.
(1/20 + 1/30)T = 1
Multiply both sides by the common denominator of 60:
(3 + 2)T = 60
5T = 60
T = 60/5
T = 12
Answer:
12 minutes
- ranjankarLv 75 years ago
First pipe ALONE = 20 minutes
First pipe ALONE in 1 MINUTE = 1/20 of tank
Second pipe ALONE in 1 MINUTE = 1/30 of tank
TOGETHER in 1 MINUTE they fill 1/20+1/30 = 3/60 +2/60 = 5/60 = 1/12 of tank
So tank is filled in 12 MINUTES ANSWER
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- Anonymous5 years ago
Pipe 1 fills 1% per 12 seconds.
Pipe 2 fills 1% per 18 seconds.
Pipe 1 fills 60% in 12 mins.
Pipe 2 fills 40% in 12 mins.
Answer: 12 minutes.