It takes 10 workers 5 days to complete a road repair when working 2 hours a day. working at the same pax’s how many days will it take 2 people working 5 hours a day to finish it?

It takes 10 workers 5 days to complete a road repair when working 2 hours a day.

So, this becomes : man hours required to finish the work.

Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d

So, total man hours =

Now, or

Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.

It will take 10 days for 2 people working 5 hours a day to finish the road repair.

From the question;

10 workers can finish road repair in 5 days working 2 hours a day

We need to find;

The number of days required to complete the road repair by 2 workers  working 5 hours a day.

Assuming the number of days required to complete the work is x

Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)

Number of working hours of 2 people is 5x hours (5 hours a day for x days)

Note that; the number of workers or people is inversely related to the number of working hours.

Therefore;

Product of number of people and working hours or work done is a constant

Thus;

10 × 10 =  2 × 5x

100 = 10 x

x = 10

Therefore;

2 workers working 5 hours a day will require 10 days to complete the road repair.

Keywords: rate of work, number of hours, number of days required to complete the job.

Level: Middle school

Subject: Mathematics

Topic: Rate of work

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step-by-step explanation:

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