A pump can fill a tank with water in 2 hours . Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in. a.41/3 hrs b.7 hrs c.8 hrs d.14 hrs

Answers 1

Answer:

Correct option is D

Step-by-step explanation:

  • Rate of filling the Tank by Pump : [tex]\frac{1}{2}[/tex]
  • Rate of leak while water is being pumped in the tank: [tex]\frac{3}{7}[/tex]
  • Rate of leak in the tank : 1 hour = [tex](\frac{1}{2}-\frac{3}{7} ) = \frac{1}{14}[/tex]
  • ∴ Leak will empty the tank in 14 hrs.
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