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?

Ashifur August 8, 2023 - 17:26

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?

View all: IFIC BANK SENIOR OFFICER (MTO) | WRITTENQUESTION(MATH)SOLVE(MTO) | 2013

Correct Answer: ans: 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 = $\frac{160\times 120}{96}$ workers.

By 1 day $\frac{7}{8}$ task can be completed by = $\frac{160\times 120\times7}{96\times8}$ = 175 workers.

Addition worker needed = 175-160 = 15 workers.

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