A can do 50% more work as B can do in the same time. B alone can do a piece of work in 20 hours. A, with help of B, can finish the same work in how many hours?
Work done by B in hour is given by $$\frac{1}{20}$$
As A can do 50% more efficient than B,
$$\frac{1}{A} = 150 % of \frac{1}{B}$$
$$\frac{1}{A} = \frac{3}{2} \times \frac{1}{B}$$
$$\frac{1}{A} = \frac{3}{2} \times \frac{1}{20}$$
$$A = \frac{3}{40}$$
Work done by A and B together in hour = $$\frac{1}{A} + \frac{1}{B}$$
$$\Rightarrow \frac{3}{40} + \frac{1}{20}$$
$$\Rightarrow \frac{3 + 2}{40} = \frac{1}{8}$$
Total work done by A and B together = 8 hours.
Hence, option B is the correct answer.
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