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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Tom travels from A to B at a constant speed of 4 miles per hour and re

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7761
GMAT 1: 760 Q51 V42 GPA: 3.82
Tom travels from A to B at a constant speed of 4 miles per hour and re  [#permalink]

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Difficulty:   5% (low)

Question Stats: 85% (01:20) correct 15% (01:55) wrong based on 46 sessions

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[GMAT math practice question]

Tom travels from A to B at a constant speed of 4 miles per hour and returns from B to A at a constant speed of 8 miles per hour. What is Tom’s average speed for the entire journey?

A. 14/3
B. 5
C. 16/3
D. 17/3
E. 18/3

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Manager  S
Joined: 25 Jul 2018
Posts: 203
Re: Tom travels from A to B at a constant speed of 4 miles per hour and re  [#permalink]

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Ave. Speed=Distance/(time1+time2)
time1=distance/4
time2=distance/8

Avg.speed=2D/(D/4+D/8)= 2D/(3D/8)=16/3

The answer choice is C.

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7761
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: Tom travels from A to B at a constant speed of 4 miles per hour and re  [#permalink]

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2
=>

The average speed is calculated by dividing the total distance by the total time. We often encounter this type of question on the GMAT exam.

Let $$d$$ be the distance between $$A$$ and $$B$$.

The time that Tom takes to travel from $$A$$ to $$B$$ is $$\frac{d}{4}$$ and the time that he takes to travel from $$B$$ to $$A$$ is $$\frac{d}{8}.$$

The total time taken is $$(\frac{d}{4}) + (\frac{d}{8}) = \frac{3d}{8}.$$

The average speed is $$2d / (\frac{3d}{8}) = \frac{16}{3}.$$

Therefore, the answer is C.
Answer: C
_________________ Re: Tom travels from A to B at a constant speed of 4 miles per hour and re   [#permalink] 21 Jul 2019, 18:46
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# Tom travels from A to B at a constant speed of 4 miles per hour and re

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