Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?

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 ?

Five men and 2 boys can do as much work in 30 days as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?