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When a car traveled from Town A to Town B without stopping,

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BSchool Forum Moderator
Joined: 29 Jan 2015
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When a car traveled from Town A to Town B without stopping,  [#permalink]

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16 Jan 2019, 08:59
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Difficulty:

25% (medium)

Question Stats:

79% (02:20) correct 21% (02:44) wrong based on 39 sessions

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When a car traveled from Town A to Town B without stopping, the car traveled a total of 2m miles, where m > 0. The car traveled the first m miles at an average speed of v miles per hour, and the car traveled the entire 2m miles at an average speed of 5v/3 miles per hour. What was the average speed of the car, in miles per hour, when it traveled the final m miles?

A. 8v/3

B. 4v

C. 5v

D. 16v/3

E. 8v

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Re: When a car traveled from Town A to Town B without stopping,  [#permalink]

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16 Jan 2019, 09:29
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rohan2345 wrote:
When a car traveled from Town A to Town B without stopping, the car traveled a total of 2m miles, where m > 0. The car traveled the first m miles at an average speed of v miles per hour, and the car traveled the entire 2m miles at an average speed of 5v/3 miles per hour. What was the average speed of the car, in miles per hour, when it traveled the final m miles?

time to travel the first miles = $$\frac{distance}{speed}$$ = $$\frac{m}{v}$$

time to travel the whole distance = $$\frac{2m}{[5v/3]}$$ = $$\frac{6m}{5v}$$

time for first miles + times for second miles = time for whole distance
$$\frac{m}{v}$$ + $$\frac{m}{x}$$ = $$\frac{6m}{5v}$$
$$\frac{m}{x}$$ = $$\frac{6m}{5v}$$ - $$\frac{5m}{5v}$$
$$\frac{m}{x}$$ = $$\frac{m}{5v}$$
$$x = 5v$$

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Re: When a car traveled from Town A to Town B without stopping,   [#permalink] 16 Jan 2019, 09:29
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