If 15 boys working independently and at the same rate can assemble 30 machines in an hour, how many machines would 48 boys working independently and at the same rate assemble in 40 minutes?
- 54
- 96
- 64
- 95
- 68
Explanation
To solve this problem, follow these steps:
1Determine the rate at which one boy assembles machines:
- 15 boys assemble 30 machines in 1 hour.
- Therefore, 1 boy assembles 30 machines/15 boys = 2 machines per hour
Calculate the number of machines 48 boys can assemble in 1 hour:
- Each boy assembles 2 machines per hour
- Therefore, 48 boys×2 machines per boy=96 machines per hour.
Find out how many machines can be assembled in 40 minutes:
40 minutes is 40/ 60 = 2/3of an hour.
Therefore, in 40 minutes, the number of machines assembled is:
96 machines per hour× 2/3of an hour=64 machines
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