Question 124
A can do half of a piece of work in 1 day, whereas B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is
Solution
Let the Work be W
According to the Problem,
Work done by A in 1 day = $$\frac{W}{2}$$
Work done by B in 1 day = $$W$$
Given, B can do half the work as C in 1 day
$$=$$> $$W=\frac{Work\ done\ by\ C\ in\ 1\ day}{2}$$
$$=$$> Work done by C in 1 day = $$2W$$
$$\therefore\ $$Ratio of their efficiencies of work = $$\frac{W}{2}:W:2W=\frac{1}{2}:1:2=1:2:4$$
Hence, the correct answer is Option D
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