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Tom drives from town A to town B, driving at a constant speed of 60 mi

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Bunuel
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Tom drives from town A to town B, driving at a constant speed of 60 mi [#permalink] Tom drives from town A to town B, driving at a constant speed of 60 mi  14 May 2021, 02:45
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Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?


A. 12
B. 20
C. 24
D. 30
E. 36
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Tom drives from town A to town B, driving at a constant speed of 60 mi [#permalink] Tom drives from town A to town B, driving at a constant speed of 60 mi  15 May 2021, 16:25
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Bunuel wrote:
Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?


A. 12
B. 20
C. 24
D. 30
E. 36


Since we will be finding ratios we can set the distance from A to B as 60 mi (and travel time in the first part would be 1 h), the distance from B to C as 30 mi. Then set the speed from B to C as x (travel time would be \(\frac{30\text{ mi} }{ x\text{ mph}}\) in the second part), the average speed would be:

\(\frac{\text{Total Distance}}{\text{Total Time}} = 36\)

\(\frac{60 + 30}{\frac{60}{60} + \frac{30}{x}} = 36\)

\(\frac{90}{36} = 1 + \frac{30}{x} = \frac{5}{2}\)

\(\frac{30}{x} = \frac{3}{2}\)

\(x = 20\)

Ans: B
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Re: Tom drives from town A to town B, driving at a constant speed of 60 mi [#permalink] Tom drives from town A to town B, driving at a constant speed of 60 mi  04 Jun 2021, 05:50
Distance b/w towns B and C = x
Distance b/w towns A and B = 2x

Time taken while traveling from town A to town B: T = x/30

Time taken while traveling from town B to town C: T = x/s

Avg. Speed = Total Distance/Total Time

Total Distance = x+2x = 3x
Total Time = x/30 + x/s

36 = 3x/(x/30+x/s)

s = 20 mph (B)
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Re: Tom drives from town A to town B, driving at a constant speed of 60 mi [#permalink] Tom drives from town A to town B, driving at a constant speed of 60 mi  26 Mar 2023, 01:53
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Tom drives from town A to town B, driving at a constant speed of 60 mi [#permalink]
26 Mar 2023, 01:53
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