Question 47
A tank is fitted with 3 pipes A, B and C. A takes twice as much time to fill the tank as B takes to empty the tank. B takes twice as much time to empty the tank as C takes to fill the tank. If it is known that C takes 10 hours to fill the tank, in how much time three quarters of the tank will be filled provided that all the taps were opened simultaneously?
Solution
Let us assume the capacity of the tank to be 100 litres.
C can fill the tank in 10 hours. Therefore, C can fill 10 litres every hour.
B can empty 5 litres every hour and A can fill 2.5 litres every hour.
Together, the 3 pipes can fill 2.5 - 5 + 10 = 7.5 litres evey hour.
They can fill 75 litres (three quarters) in 10 hours.
Therefore, option B is the right answer.
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