P, Q and R work together to finish a work. P and Q finish 70% of the work while Q and R finish 50% of the work. Who will finish first, if they work alone?

P, Q and R work together to finish a work. P and Q finish 70% of the work while Q and R finish 50% of the work. Who will finish first, if they work alone? Correct Answer P

Calculation:

Let total work done by P, Q and R = 100 unit,

Work done by P and Q = 100 × 70/100 = 70

Remaining work done by R = 100 – 70 = 30

Work done by Q and R = 100 × 50/100 = 50

Remaining work done by P = 50

Work done by Q = 70 – 50 = 20

Efficiency of P = 50, Efficiency of Q = 20 and Efficiency of R = 30

Now, we can say P will finish first, if they work alone.

Related Questions

A, B and C were paid Rs. 8000 for a piece of work which they finished together. Find the shares of A. Statement I: All three together can finish the work in 7.5 days while C alone takes 20 days to complete the work. Statement II: A and B together can finish the work in 12 days.