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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
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Joined: 16 Aug 2015
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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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New post 19 Jul 2019, 01:08
1
2
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A
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C
D
E

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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Math Revolution GMAT Instructor
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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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New post 21 Jul 2019, 18:46
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=>

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
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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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New post 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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