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Adam and Beth each drove from Smallville to Crown City

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Manager
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Joined: 15 Apr 2016
Posts: 84

Kudos [?]: 20 [0], given: 66

Adam and Beth each drove from Smallville to Crown City [#permalink]

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New post 25 Jun 2016, 22:17
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:55) correct 17% (01:33) wrong based on 105 sessions

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Adam and Beth each drove from Smallville to Crown City by different routes. Adam drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's average speed on this trip?
(A) 24
(B) 30
(C) 48
(D) 54
(E) 75

I dont know if the above problem was already discussed, but i couldn find in the forum :)
[Reveal] Spoiler: OA

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Kudos [?]: 20 [0], given: 66

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Re: Adam and Beth each drove from Smallville to Crown City [#permalink]

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New post 25 Jun 2016, 23:21
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Speed = Distance/Time

Distance for Adam = Speed * Time = 40 * 1/2 = 20 miles

Distance for Beth = Distance for Adam+5 = 20+5 = 25 miles
Time taken by Beth = Time taken by Adam + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour

Hence, B is the answer.

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P.S. Don't forget to give Kudos :)
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P.S. Don't forget to give Kudos :)

Kudos [?]: 95 [2], given: 10

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Joined: 05 May 2016
Posts: 39

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Re: Adam and Beth each drove from Smallville to Crown City [#permalink]

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New post 14 Jul 2016, 09:38
14101992 wrote:
Speed = Distance/Time

Distance for Adam = Speed * Time = 40 * 1/2 = 20 miles

Distance for Beth = Distance for Adam+5 = 20+5 = 25 miles
Time taken by Beth = Time taken by Adam + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour

Hence, B is the answer.

---------------------------------

P.S. Don't forget to give Kudos :)

Quote:

Adam takes 30 mins at speed 40 mph
Convert 30 mins to 1/2 hr.

Let say Beth travels at "s" mph and takes 20 mins more = 50 mins
Convert 50 mins to 5/6 hr

Distance = Speed * Time

Given that Beth travels for 5 more miles.

>>> S * (5/6) - 40*(1/2) = 5
>>> S * (5/6) = 25
>>> S = 30

Answer:B

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Re: Adam and Beth each drove from Smallville to Crown City [#permalink]

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New post 26 Aug 2017, 14:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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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Re: Adam and Beth each drove from Smallville to Crown City   [#permalink] 26 Aug 2017, 14:15
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Adam and Beth each drove from Smallville to Crown City

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