Two pipes are running together can fill a cistern in 100/9 minutes. If one pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.
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Answer:
Step-by-step explanation:
Let one pipe take x minutes then other will take x-5 minute.
In one minute part of tank filled = 1/x + 1/x-5
Given 1/x+1/x-5 = 9/100
(2x-5)/(x²-5x) = 9/100
9x²-45x = 200x - 500
9x²-245x+500= 0
9x²-20x-225x+500=0
x(9x-20)-25(9x-20) =0
(x-25)(9x-20) =0
x=25 or x=20/9
One pipe takes 25 minutes and other takes 20.
20/9 is not possible since it is less than five.
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