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Tap P can fill a cistern in 6 hours and tap Q can empty the full cistern in 10 hours. If both taps P and Q are kept open simultaneously, then in how many hours will the empty cistern be completely full ?
A runs \(1 {2 \over 3}\) times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
A and B working alone can complete a work in 8 days and 12 days, respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?