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Question 83
If 36 persons are engaged on a piece of work, the work can be completed in 40 days. After 32 days, only 3/4 th of the work was completed. How many more persons are required to complete the work on time?
Solution
Remaining work = $$\frac{1}{4}$$
Remaining time = 8 days
Work done by 36 persons in 1 day = $$\frac{1}{40}$$
Work done by 1 person in 1 day = $$\frac{1}{36 \times 40}$$
Let the number of persons required to finish the remaining work be 'x'
$$8 \times x \times \frac{1}{36\times40} = \frac{1}{4}$$
$$x = 45$$
Number of additional persons = 45 - 36 = 9
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