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A certain car traveled twice as many miles from Town A to Town B as it
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19 Jul 2021, 02:34
19 Jul 2021, 02:34
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A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
A. 13
B. 13.5
C. 14
D. 14.5
E. 15
A. 13
B. 13.5
C. 14
D. 14.5
E. 15
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A certain car traveled twice as many miles from Town A to Town B as it
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19 Jul 2021, 10:48
19 Jul 2021, 10:48
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GeminiHeat wrote:
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
A. 13
B. 13.5
C. 14
D. 14.5
E. 15
A. 13
B. 13.5
C. 14
D. 14.5
E. 15
Shortcut: If you travel a-third of a distance at \(x\) kmph, next third at \(y\) kmph and last third at \(z\) kmph, the average speed of the trip is given by \(\frac{3xyz}{(xy + yz + xz)}\)
Let BC = \(d\)
Since, AB = 2BC = \(2d\)
Consider \(x = y = 12\) and \(z = 18\)
Average Speed = \(\frac{3(12)(12)(18)}{[(12)(12) + (12)(18) + (12)(18)]} = 13.5\)
Hence, option B
Re: A certain car traveled twice as many miles from Town A to Town B as it
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21 May 2024, 12:00
21 May 2024, 12:00
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Thanks to another GRE Prep 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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