Races And Games Q27

27.P runs 5/3 times fast than Q. If P has given Q a start of 96 m, What should be the distance of running post so that P and Q reach it at the same time ?

A.20m                                                                       B.180m

C.120m                                                                    D.None

Solution : Rate of A and B = 5/3 : 1 = 15 : 3

From the ratio 15 : 3 we conclude that in a race of 15 m, P gains 12 m more than Q 

12 m are being gained by P in a race of 15 m

1 m eing gained by P in a race of 15/12 

So both P and Q will reach at same time when post will be 120 m