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A cistern is filled by Pipe A and Pipe B together in 2.4 hours. Pipe A alone can fill the cistern at the rate of 100 litres per hour. Pipe B alone can fill the cistern in 4 hours. What is the…

Question and options

A cistern is filled by Pipe A and Pipe B together in 2.4 hours. Pipe A alone can fill the cistern at the rate of 100 litres per hour. Pipe B alone can fill the cistern in 4 hours. What is the capacity of the cistern?
  1. 1200 litres
  2. 600 litres
  3. 1000 litres
  4. 500 litres

Answer and explanation

Correct answer: B - 600 litres
A + B fill 12.4=512\frac{1}{2.4} = \frac{5}{12} per hour, B fills 14=312\frac{1}{4} = \frac{3}{12}, so A fills 212=16\frac{2}{12} = \frac{1}{6} per hour, i.e. 6 hours. At 100 litres/hour capacity = 600 litres.

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