Question
There are two pipes to fill a tank. Together, they can
fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in:Solution
Let the slower pipe fill the tank in x minutes. The faster pipe fills it in 2x/3 minutes (since it's 1.5 times faster). Their combined rate is: 1/x + 3/2x = 1/15 ⟹ 5/2x = 1/15 ⟹ x = 37.5 mins (slower pipe) The faster pipe takes: 2/3 x 37.5 = 25 mins
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