If 35 laborers dig 805 cubic meters of earth in 5 hours, how much earth will 30 laborers dig in 6 hours?
- 828m³
- 726m³
- 869m³
- None of these
Explanation
To solve this problem, we can calculate the rate at which the laborers dig the earth:
Rate = 805 cubic meters / (35 laborers × 5 hours)
= 805 / 175
= 4.6 cubic meters per laborer per hour
Now, we can calculate the amount of earth dug by 30 laborers in 6 hours:
Earth dug = 30 laborers × 6 hours × 4.6 cubic meters per laborer per hour
= 30 × 6 × 4.6
= 828 cubic meters
The correct answer is 828m³.
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