A machine takes 4.2 hours to make 7 parts. At that rate, how many parts can the machine make in 28.8 hours? Round answer.
1)48 parts
2)41 parts
3)172 parts
4)17 parts
I think #1. Thanks
To find out how many parts the machine can make in 28.8 hours, we need to determine how many parts it can make per hour.
We have the information that the machine takes 4.2 hours to make 7 parts. So, to find the number of parts made per hour, we can divide the number of parts made (7) by the time taken (4.2):
Parts made per hour = 7 parts / 4.2 hours
Now, we can use this rate to find how many parts can be made in 28.8 hours.
Parts made in 28.8 hours = Parts made per hour × Time (in hours)
Substituting the values we have:
Parts made in 28.8 hours = (7 parts / 4.2 hours) × 28.8 hours
Simplifying, we cancel out the "hours" and calculate:
Parts made in 28.8 hours = (7 / 4.2) × 28.8
Parts made in 28.8 hours = (1.6667) × 28.8
Parts made in 28.8 hours ≈ 47.9936
Since we need to round the answer, the machine can make approximately 48 parts in 28.8 hours.
Therefore, the correct answer is option 1) 48 parts.