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Jason must drive from his home to his office by one of two possible ro

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Jason must drive from his home to his office by one of two possible ro [#permalink]

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Jason must drive from his home to his office by one of two possible routes. If he must also return by one of these routes, what is Jason's average speed on a round trip from his home to his office?

(1) The longer route is 3 times the shorter route.
(2) Jason's average speed while driving to his office along the longer route was 50 miles per hour and his average speed while returing home along the shorter route was 60 miles per hour.
[Reveal] Spoiler: OA

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Re: Jason must drive from his home to his office by one of two possible ro [#permalink]

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New post 26 Apr 2017, 08:07
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Bunuel wrote:
Jason must drive from his home to his office by one of two possible routes. If he must also return by one of these routes, what is Jason's average speed on a round trip from his home to his office?

(1) The longer route is 3 times the shorter route.
(2) Jason's average speed while driving to his office along the longer route was 50 miles per hour and his average speed while returing home along the shorter route was 60 miles per hour.


(1) The longer route is 3 times the shorter route. - Not sufficient
(2) Jason's average speed while driving to his office along the longer route was 50 miles per hour and his average speed while returing home along the shorter route was 60 - Not sufficient

(1) + (2)
Let x be the shorter distance and 3x be the longer distance.

Total time taken = (x/60) + (3x/50)

Average velocity = Total distance / Total time taken
= (4x) / (x/60) + (3x/50)
- Sufficient

Hence C.

Cheers!
Re: Jason must drive from his home to his office by one of two possible ro   [#permalink] 26 Apr 2017, 08:07
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