Question
Asked Nov 24, 2019
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A small pipe can fill a tank in 9 min more time than it takes a larger pipe to fill the same tank. Working together, the pipes can fill the tank in 6 min. How long would it take each pipe, working alone, to fill the tank?

smaller pipe      min
larger pipe      min
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Expert Answer

Step 1

Let t be the time for the larger pipe to fill the tank, then (t + 9) be the time for the smaller pipe to fill the tank.

In order to find the time of each pipe to fill t...

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1 1 1 t+9 t 6t +6(t+9) (t+9) 2-3t 54 0 (t+6)(t-9) 0 t =-6 and t 9. Since time is always positive, ignore the negative value t -6 Thus, the time for the large pipe to fill the tank is 9 minutes The time for the smaller pipe to fill the tank is 9+9=18.

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