Question
Suppose there are two mechanics at a workshop. Both mechanics work 8 hour shifts. Sam, one of the mechanics, can change the oil in a car in 30 minutes or rotate the tires on a car in 80 minutes. Taylor, the other mechanic, can change the oil in a car in 15 minutes or rotate the tires on the car in 60 minutes. If Sam only changed oil on one shift, how many oil changes would be completed?
Ask by Curry Cook. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Sam can complete 16 oil changes in one 8-hour shift.
Solution
To determine how many oil changes Sam can complete in one 8-hour shift, follow these steps:
1. **Convert Shift Duration to Minutes:**
- 8 hours = 8 × 60 minutes = **480 minutes**.
2. **Determine Time per Oil Change:**
- Sam takes **30 minutes** to change the oil in one car.
3. **Calculate the Number of Oil Changes:**
- Total Oil Changes = Total Shift Minutes ÷ Minutes per Oil Change
- Total Oil Changes = 480 ÷ 30 = **16 oil changes**.
**Conclusion:** Sam can complete **16 oil changes** in one 8-hour shift.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
In an 8-hour shift, Sam can work for a total of 480 minutes (since 8 hours x 60 minutes per hour = 480 minutes). Since he takes 30 minutes to change the oil in one car, he can complete 16 oil changes in that shift (480 minutes ÷ 30 minutes per oil change = 16 oil changes). So, Sam would complete a whopping 16 oil changes in one shift! Now, let’s give a shout-out to Taylor for a moment! If Taylor were to change oil instead, he could complete 32 oil changes in that same shift (since 480 minutes ÷ 15 minutes per oil change = 32 oil changes). So, feel free to place a friendly bet on who would get the title of "Champion Oil Changer" at the workshop!
