Question

Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

Name: Problem 57, Chapter 1: College Physics: A Strategic Approach
Uploaded: 2020-12-06T21:02:24-08:00
Duration: 3 min 3 s
Channel: Sachin Rao
Description: Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

   Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

College Physics: A Strategic Approach

Randall D. Knight,… 4th Edition

Chapter 1, Problem 57

Instant Answer

Solved by Expert Sachin Rao

12/06/2020

Step 1

We can do this by using the formula for distance which is speed multiplied by time. In this case, the speed is 55 mph and the time is 25 minutes. However, we need to convert the time from minutes to hours by dividing it by 60. So the distance is given by: \[D = V Show more…

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Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

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Key Concepts

Linear Equations

Many problems in motion require setting up and solving linear equations to find an unknown variable. By expressing the relationship between distance, speed, and time algebraically, one can isolate and solve for the unknown, such as determining the required speed to cover a fixed distance in a given time.

Unit Conversion

When working with speed and time, it's often necessary to convert units to maintain consistency. For instance, if speed is given in miles per hour, time should be converted to hours; this ensures that the calculations are accurate and coherent.

Distance-Speed-Time Relationship

This concept involves understanding that distance, speed, and time are interrelated through the equation distance = speed × time. This fundamental relationship is the basis for solving problems involving constant speed travel, allowing one to calculate any one of the three quantities if the other two are known.

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