Math Problem Statement
If Mary drove 455 miles in 7 hours at an average speed of 65 miles per hour, how many miles per hour would her average speed need to be to make the trip in 5 hours?
Solution
To determine the average speed Mary would need to make the trip in 5 hours, we first need to recall the formula for speed, which is:
Mary drove 455 miles, so if she wants to complete this distance in 5 hours, we can calculate the necessary speed using the formula:
Now, we compute the division:
So, Mary would need to drive at an average speed of 91 miles per hour to complete the 455-mile trip in 5 hours.
Would you like any further details or have any questions?
Here are 8 related questions that expand on this information:
- How do you calculate average speed when given distance and time?
- What is the formula for distance if you know speed and time?
- How do changes in speed affect travel time for a fixed distance?
- If Mary took 8 hours for the trip, what would her average speed be?
- How can you convert miles per hour to kilometers per hour?
- What factors can affect a driver's average speed on a long trip?
- If the distance was increased to 600 miles, what would be the required speed to complete it in 7 hours?
- How does knowing average speed help in planning travel schedules?
Tip: When planning long trips, always account for potential delays such as traffic, rest stops, and weather conditions, as they can significantly affect your travel time.
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Math Problem Analysis
Mathematical Concepts
Speed
Distance
Time
Formulas
Speed = Distance / Time
Theorems
-
Suitable Grade Level
Grades 5-7