Loading...

Lesson: Applied Arithmetic - 13t01

In-Format Rate Problems, continued

[Page 13 of 36]
Task Let's try another. Click on the correct response and then click Continue.

Vaughn drove from his house to work at an average speed of 25 miles per hour and then returned home along the same route at an average speed of 35 miles per hour. If his total driving time for the trip was 2 hours, how many minutes did it take Vaughn to drive from his house to work?

25
35
50
60
70

Hint

Continue

This is a tough rate problem, so rather than try to calculate the solution, you may be better off trying to guesstimate the answer. For instance, it took Vaughn 2 hours to complete the round trip, and he drove more slowly on the way to work than on the return trip. Therefore, he must have spent more time going to work than coming back. So the answer must be more than 60 minutes, and the only possible answer choice that works is Choice (5), 70 minutes.

To calculate the answer mathematically, you could begin by calling the distance either way d. Since Time = Distance/Rate, we can come up with the equation for the time spent traveling and solve for d (keeping our units in hours for now): . So . Thus , and (We'll do what reducing we can and save the final number-crunching for later). Now that we have the distance, we should divide that by the rate (25 m.p.h.) to determine the time (in hours) it took Vaughn to drive to work:

0

Now we multiply that by 60 to convert the answer into minutes:

Next to display next topic in the chapter.

Video Lessons and 10 Fully Explained Grand Tests

Large number of solved practice MCQ with explanations. Video Lessons and 10 Fully explained Grand/Full Tests.

More for You
All in this Category

You may be interested in

PAF College Lower Topa

How to get admission in PAF College ...

Colleges in Lahore

Find a comprehensive list of major ...

Social Articles

A list of Articles on Social Issues ...

Compititive Exam Preparation Books

A list of Books for Compititive Exa ...

MCAT for Medical College Admission Test

Learn and prepare MCAT for admissio ...

PPSC Exam for Statistical Officer Exam

Learn about the exam of PPSC Exam f ...

SZABIST - Engineering

SZABIST - Mechatronics Engineering ...

Institute of Space Technology

IST is the institute dealing in spa ...