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John traveled 80% of the way from Yellow-town to Green-fields by train

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John traveled 80% of the way from Yellow-town to Green-fields by train  [#permalink]

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New post 14 Jun 2016, 02:06
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Difficulty:

  35% (medium)

Question Stats:

76% (02:32) correct 24% (02:26) wrong based on 110 sessions

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John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

A. 30
B. 40
C. 50
D. 55
E. 70

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Re: John traveled 80% of the way from Yellow-town to Green-fields by train  [#permalink]

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New post 14 Jun 2016, 02:21
1
Bunuel wrote:
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

A. 30
B. 40
C. 50
D. 55
E. 70



Hi Bunuel

THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.
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Re: John traveled 80% of the way from Yellow-town to Green-fields by train  [#permalink]

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New post 14 Jun 2016, 02:52
1
Lastlap2016 wrote:
Bunuel wrote:
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

A. 30
B. 40
C. 50
D. 55
E. 70



Hi Bunuel

THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.


The question is correct. Here's the explanation:

Let distance be D. We can find the total time & equate it, which comes as:
0.8D / 80 + 0.2D / v = D / 60 => v = 30 (Option A).
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Re: John traveled 80% of the way from Yellow-town to Green-fields by train  [#permalink]

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New post 14 Jun 2016, 03:03
2
Lets take Total Distance as 100 miles.

First Lap => 80 miles at 80 mph => Time = 1 hour

Second Lap => 20 miles at v mph => Time = \(\frac{20}{v}\)

Avg Speed = \(\frac{Total Distance}{Total Time}\)

60 = \(\frac{100}{1+20/v}\)

v= 30 mph.

Ans :A
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Re: John traveled 80% of the way from Yellow-town to Green-fields by train  [#permalink]

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New post 30 Dec 2017, 07:09
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Re: John traveled 80% of the way from Yellow-town to Green-fields by train &nbs [#permalink] 30 Dec 2017, 07:09
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