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1. Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hourns?
- A. 100
- B. 100
- C. 100
- D. 100
Answer: Option A
Explanation:
To determine how fast Luke needs to drive for the final 200 miles of the trip, you can use the formula:
Time = Distance / Speed
First, calculate the time it took for the first 300 miles at 60 miles per hour:
Time for the first 300 miles = 300 miles / 60 mph = 5 hours
Now, you know that the total time of the trip is 7 hours, and you've already spent 5 hours on the first 300 miles. So, you have 7 - 5 = 2 hours left for the remaining 200 miles.
Now, use the time and distance to calculate the required speed for the final 200 miles:
Speed = Distance / Time
Speed = 200 miles / 2 hours = 100 mph
So, Luke needs to drive at 100 miles per hour for the final 200 miles of the trip to complete it in 7 hours.
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