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    Question

    Pipe 'X' is capable of emptying a tank in 15 hours. When

    Pipe 'Y', which adds 2.4 liters of water per hour, is also used, it takes 25 hours to empty the tank. Determine the tank's total capacity.
    A 25 litres Correct Answer Incorrect Answer
    B 90 litres Correct Answer Incorrect Answer
    C 55 litres Correct Answer Incorrect Answer
    D 75 litres Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, We can say that time taken by pipe тАШYтАЩ to fill the tank = тАШhтАЩ hours Then, capacity of tank = 2.4h units Therefore, Efficiency of pipe тАШXтАЩ = 2.4h/15 = 0.16h units/hr Efficiency of pipes (X + Y) = 2.4h/25 = 0.096h units/hour Therefore, efficiency of pipe тАШYтАЩ = -0.096h тАУ (-0.16h) = 0.064h units/hour So, 0.064h = 2.4 h = 37.5 Total capacity of the tank = 37.5 ├Ч 2.4 = 90 litres

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