To calculate how much time you will save on a ten-mile trip when traveling at 60 mph instead of 55 mph, we first need to find out how long each trip will take.
1. **Calculating Time at 60 mph:**
At 60 miles per hour, the time taken to travel 10 miles can be calculated using the formula: Time = Distance / Speed.
So, Time at 60 mph = 10 miles / 60 mph = 1/6 hours, which is equal to 10 minutes.
2. **Calculating Time at 55 mph:**
Now, let’s calculate the time taken to travel 10 miles at 55 mph using the same formula.
So, Time at 55 mph = 10 miles / 55 mph = 2/11 hours. To convert this into minutes, we can multiply by 60:
Time at 55 mph = (2/11) * 60 ≈ 10.91 minutes.
3. **Calculating the Time Saved:**
Now we can find the difference in time:
Time Saved = Time at 55 mph – Time at 60 mph = 10.91 minutes – 10 minutes = 0.91 minutes, which is approximately 54.6 seconds.
In summary, by driving at 60 mph instead of 55 mph for a ten-mile trip, you can save approximately 55 seconds.