It take 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same Pace, how many days will it take 2 people working 5 hours a day to finish it

The workers will need 10 days to finish the job.

Step-by-step explanation:

To solve this question we can use a compound rule of three. We have:

10 road workers - > 5 days - > 2h/day

2 road workers - > x days - > 5h/days

The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:

2 - > 5 - > 5

10-> x - > 2

x = (5*2*10) / (2*5) = 100/10 = 10 days