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

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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 by different ro [#permalink]
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Shrivathsan wrote:
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


Since Adam drove 30 minutes, or 1/2 hour, at an average speed of 40 mph, he drove 1/2 x 40 = 20 miles. Since Beth’s route was 5 miles longer, she drove 25 miles. She also drove 20 minutes longer than Adam, so she drove for 50 minutes, or 5/6 hour. Thus, her average speed was

25/(5/6) = 25 x 6/5 = 30 mph

Answer: B
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Re: Adam and Beth each drove from Smallville to Crown City by different ro [#permalink]
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Re: Adam and Beth each drove from Smallville to Crown City by different ro [#permalink]
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