Question 115

A is twice as efficient as B and B is thrice as efficient as C. Working together, they can finish a certain work in 5 days. If A and C worked together for 5 days then B alone would complete the remaining work in ........

Solution

Let the efficiency of C be x.

Efficiency of B = 3x

Efficiency of A = 3x $$\times$$2 = 6x

Total efficiency of A, B and C = 5x + 3x + x = 10x

Total work = days $$\times efficiency = 5 \times$$ 10x = 50x

A and C worked together for 5 days so,

Work done By A and C = 5 $$\times$$ (x + 6x) = 35x

remaining work = 50x - 35x = 15x

Time taken by B to complete the remaining work = $$\frac{15x}{3x}$$ = 5 days

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: