480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?

Explanation

Using the formula \frac{M_1 D_1 H_1}{W_1} = \frac{M_2 D_2 H_2}{W_2}: \frac{480 \times 10 \times 10}{1/4} = \frac{M_2 \times 20 \times 8}{3/4}. Solving this gives M_2 = 900. Additional persons = 900 - 480 = 420.

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