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+1 vote
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in Mathematics by (33.1k points)

Two pipes running together can fill a cistern in 3 1/13 minutes. If one pipe takes 3 minutes more than the other to fill it, find the time in which each pipe would fill the cistern.

1 Answer

+2 votes
by (60.2k points)
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Best answer

Let one pipe fills the cistern in x mins.

Therefore, the other pipe will fill the cistern in (x+3) mins.

Time taken by both, running together, to fill the cistern = 3 1/13 mins = 40/13 mins

Part filled by one pipe in 1 min = 1/x

Part filled by the other pipe in 1 min = 1/(x+3)

Part filled by both pipes, running together, in 1 min = 1/x + 1/(x+3)

Thus, one pipe will take 5 mins and other will take {(5+3)=8} mins to fill the cistern.

by (25 points)
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Thank you.

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