It takes 10 workers 5 days to complete a road repair when working 2 hours a day.
So, this becomes : [tex]2*5*10=100[/tex] 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 = [tex]2*5*d=10d[/tex]
Now, [tex]10d=100[/tex] or [tex]d=10[/tex]
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
