Problem: Mr. Zahid signed a contract for building a road of 1920 meters long within 120 days. He employed 160 workers for this task. But after 24 days he found that only 1/8 of the task has been finished. If Mr. Zahid wants to finish the road in time how many additional workers he has to employ?
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Correct Answer: 15 workers
Explanation:
Total workers = 160
Time to complete the task = 120 days
Remaining task =$1-\frac{1}{8}=\frac{7}{8}$
So, we get, by 120 days 1 task can be completed by = 160 Workers
By 1 day 1 task can be completed by = 160 x 120 workers.
By 96 days 1 task can be completed by = $\frac{160 x 120}{96}$ workers.
By 1 day $\frac{7}{8}$ task can be completed by =$\frac{160 x 120×7}{96×8}$ workers. = 175 workers.
Addition worker needed = 175 — 160 = 15 workers.