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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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New post 26 Apr 2017, 08:11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:36) correct 45% (01:39) wrong based on 122 sessions

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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.

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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, 09:07
2
1
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!
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Jason must drive from his home to his office by one of two possible ro  [#permalink]

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New post 10 Aug 2019, 02:05
2
Diwakar003 wrote:
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!


I marked E.
Because it is not mentioned that he takes the alternative route while returning. What if he took the longer route both the times?
The second statement just mentions the speed. No information about the route taken is mentioned.
Please let me know why my approach is faulty. Thank you.
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Jason must drive from his home to his office by one of two possible ro   [#permalink] 10 Aug 2019, 02:05
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