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 ........
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 +Â 3x + x = 10x
Total work = days $$\times efficiency = 5 \times$$ 10x = 50xÂ
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
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