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belka [17]
3 years ago
13

Two pipes can fill a tank in 98 98 minutes if both are turned on. If only one is used, it would take 29 29 minutes longer for th

e smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank?
Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

63.5minutes

Step-by-step explanation:

Let the time it takes the small pipe to fill the tank be x

Let the time it takes the larger pipe to fill the tank be y

If the two pipes can fill a tank in 98 minutes if both are turned on then:

x+y = 98...1

If only one is used and it takes 29 minutes longer for the smaller pipe to fill the tank than the larger pipe

x = 29+y... 2

Substituting equation 2 into 1 to get y we have:

29+y+y = 98

29+2y = 98

2y = 98-29

2y = 69

y = 69/2

y = 34.5minutes

x = 29+34.5

x = 63.5

This means it will take the smaller pipe 63.5minutes to fill the tank

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