Multiple choice

A tank of capacity 3600 m3 has one inlet and one outlet pipe. The outlet pipe has 10m3/min more discharge capacity than inlet pipe. If inlet pipe takes 12 minute more than oulet pipe to empty it, then find the discharge capacity of outlet pipe ?

  1. 60 m3/min

  2. 50 m3/min

  3. 25 m3/min

  4. 30 m3/min

  5. 45 m3/min
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A Correct answer
Explanation

Let inlet pipe rate = x m³/min, so outlet = x+10 m³/min. Time to empty: inlet = 3600/x, outlet = 3600/(x+10). Given inlet takes 12 minutes more: 3600/x - 3600/(x+10) = 12. Solving: 3600(10)/(x(x+10)) = 12, giving x²+10x-3000=0. Factorizing: (x+60)(x-50)=0, so x=50. Outlet = 50+10 = 60 m³/min.

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