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

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

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New post 16 Jan 2019, 08:59
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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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New post 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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