It takes 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?



Answer :

Final answer:

The detailed answer explains how to calculate the time it will take 2 workers, each working 5 hours a day, to complete a road repair based on given work rates and conditions.


Explanation:

To solve this problem, we need to use the concept of work rates.

Let's denote:

  • R = Rate of work in roads repaired per hour
  • S = Number of days for 1 worker to complete the repair working 2 hours/day
  • D = Total work, which is 1 road repair
  • M = Number of workers (2 in this case)
  • H = Number of hours each worker works per day, which is 5

Now, using the formula for work rate (Work = Rate Time), we can set up the equation:

R S = D

R 2S = D ----> (1)

Now, for 2 workers working 5 hours a day:

M R * H = D ----> (2)

From equations (1) and (2), we can solve for the time it will take 2 workers working 5 hours/day to finish the road repair.


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