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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