SOLUTION: A tank can be fully filled with water using a pipe that fills 20 litres in a minute. A bigger pipe that can fill 25 litres in a minute will take one minute less to fill the same ta
Question 388892: A tank can be fully filled with water using a pipe that fills 20 litres in a minute. A bigger pipe that can fill 25 litres in a minute will take one minute less to fill the same tank. How many minutes does the smaller pipe take to fill the tank? Found 2 solutions by mananth, jrfrunner:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Time small pipe - time big pipe = 1 minute
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Let x be the capacity of tank in liters
x/20-x/25= 1
(5x-4x)/100 =1
x= 100 liters
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m.ananth@hotmail.ca
You can put this solution on YOUR website! let t=time for smaller pipe to fill tank
let t-1 =time for larger pipe to fill tank
let c=tank capacity
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Given
small pipe rate = 20 liters per minute
large pipe rate=25 liters per minute
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use formula: tank capacity=rate * time
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small pipe; tank capacity c=20*t
large pipe: tank capacity c=25*(t-1)
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since tank capacity is the same for both pipes
20*t=25*(t-1)
20*t=25*t-25
25=5*t
5=t
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answer: it takes the small pipe 5 minutes to fill the tank
