Question

P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?

(a) 3 : 1 : 1

(b) 3 : 2 : 4

(c) 4 : 3 : 4

(d) 3 : 1 : 4

Answer 1

Correct option (a) 3 : 1 : 1

Explanation:

Let the efficiencies of P, Q and R be p, q and r units per day. Now, it’* given that:

p = 3q and

p + q = 4r

or 3q + q = 4r

or 4q = 4r

or q = r

Hence, the required ratio of work done or the ratio in which they will share their earnings = p : q : r = 3q : q : q = 3 : 1 : 1