Three carpenters P, Q and R are entrusted with office furniture work

• Time Work

Three carpenters P, Q and R are entrusted with office furniture work. P can do a job in 42 days. If Q is 26% more efficient than P and R is 50% more efficient than Q, then Q and R together can finish the job in approximately

1. 11 days
2. 13 days
3. 15 days
4. 17 days

Solution

Assume that P does x units of work in one day.

Total work = 42x

One day work of Q = 1.26x units

One day work of R = 1.26x × 1.5 = 1.89x units

Total work done by Q and R in one day = 1.26x + 1.89x = 3.15x

So, Q and R can finish the work in 42x/3.15x = 13 days approximately.

The correct option is B.