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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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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7904
GMAT 1: 760 Q51 V42
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Tom travels from A to B at a constant speed of 4 miles per hour and re  [#permalink]

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19 Jul 2019, 01:08
1
2
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:26) correct 13% (01:55) wrong based on 52 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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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7904 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] ### Show Tags 21 Jul 2019, 18:46 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: Tom travels from A to B at a constant speed of 4 miles per hour and re  [#permalink]

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19 Jul 2019, 02:57
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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Re: Tom travels from A to B at a constant speed of 4 miles per hour and re   [#permalink] 19 Jul 2019, 02:57
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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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