Question
Pipe A can empty a completely filled tank in 40 hours.
Pipe B and A together can fill an empty tank completely in (z+4) hours. The efficiency of pipe B is 60% more than the efficiency of pipe C. Pipe B and C together can fill the empty tank together in 20 hours. Find out the value of ‘z’.(Calculate values approximately)Solution
ATQ, Let’s assume the capacity of the tank is 480 units. Efficiency of Pipe A = 480 / 40 = -12 units/hour. The efficiency of pipe B is 60% more than the efficiency of pipe C. Let’s assume the efficiency of pipe C is ‘2c’. Efficiency of pipe B = 2c of (100+60)% = 2c of 160% = 3.2c Pipe B and C together can fill the empty tank together in 20 hours. (3.2c + 2c) x 20 = 480 5.2c = 24 c = 480 / 104 c = 4.615 (approx) Pipe B and A together can fill an empty tank completely in (z+4) hours. (3.2c - 12) x (z+4) = 480 (3.2x4.615 - 12) x (z+4) = 480 (14.768 - 12) x (z+4) = 480 2.768 x (z+4) = 480 (z+4) ≈ 480 / 2.768 z ≈ 173.12 - 4 z ≈ 169.12 Value of ‘z’ ≈ 169.12. or 169
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