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Both car A and car B set out from their original locations at exactly

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Both car A and car B set out from their original locations at exactly [#permalink]

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New post 14 Mar 2017, 03:06
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Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

(A) 0.50

(B) 1.00

(C) 1.25

(D) 1.33

(E) 2.00
[Reveal] Spoiler: OA
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Re: Both car A and car B set out from their original locations at exactly [#permalink]

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New post 14 Mar 2017, 07:39
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Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?


Car A: 65m/h
Car B: 50m/h

Houston to morse = m = distance
\(speed=\frac{dist}{time}\)

Car A:
\(65m/h=\frac{m}{t}\)
\(m=65*t\) ....equation 1

Car B:
\(50m/h=\frac{2m}{(t+2)}\)
\(2m=50*t+50*2\)
\(m=25*t+50\) ....equation 2

Combining equation 1 and 2
\(65*t=25*t+50\)
\(40*t=50\)
\(t=5/4\)
\(t=1,25\)
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Both car A and car B set out from their original locations at exactly [#permalink]

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New post 14 Mar 2017, 12:45
vikasp99 wrote:
Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

(A) 0.50

(B) 1.00

(C) 1.25

(D) 1.33

(E) 2.00


65t=d
50(t+2)=2d
130t=50t+100
t=5/4=1.25 hours
C
Both car A and car B set out from their original locations at exactly   [#permalink] 14 Mar 2017, 12:45
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