Emily is heading to the train station. After driving at 40 miles per hour for one hour, she discovers that if she maintains that speed, she will arrive an hour late for her train. She then increases her speed to 60 miles per hour for the remainder of her journey and arrives 20 minutes before her train leaves. What is the total distance she drove?

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160

180

200

Correct

240

300

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Official Explanation

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Emily is on her way to the train station. Initially, she drives for one hour at a speed of 40 miles per hour, covering a distance of

40 \text{ miles}

. She realizes that if she continues at this speed, she will be an hour late. To avoid this, she increases her speed to 60 miles per hour for the rest of her trip. Let the total distance to the station be

d

. The time taken at 40 miles per hour is

\frac{40}{40} = 1 \text{ hour}

.…

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Comments

ManasiFeb 7, 2025

Thankss

PriyanshiSep 6, 2024

thanks

ParveenJul 30, 2024

good question

What this question tests

What it tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Common trap

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.