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# Mr. Jones drove from Town A to Town B in x hours. On the

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Manager
Joined: 05 Sep 2007
Posts: 144
Location: New York
Mr. Jones drove from Town A to Town B in x hours. On the  [#permalink]

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07 Apr 2008, 17:15
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Mr. Jones drove from Town A to Town B in x hours. On the return trip over the same route, his average speed was twice as fast. Which of the following expresses the total number of driving hours for the round trip?
(A) (2/3)x
(B) (3/2)x
(C) (5/3)x
(D) 2x
(E) 3x

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Intern
Joined: 07 Apr 2008
Posts: 23

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07 Apr 2008, 17:48
1
Since the average speed is twice as fast, then it would take him half as long to drive. Since the time there took x hours, then the time back would take x/2 hours and the total hours would (3/2)x hours.

Mathematical explanation:
d = r*t

Trip 1:
d = r*x

Trip 2:
d = 2r*y

Since the d's are the same, then
r*x = 2r*y
y = x/2

x+y = x + x/2 = (3/2)x
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VP
Joined: 10 Jun 2007
Posts: 1324

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07 Apr 2008, 17:53
el1981 wrote:
Mr. Jones drove from Town A to Town B in x hours. On the return trip over the same route, his average speed was twice as fast. Which of the following expresses the total number of driving hours for the round trip?
(A) (2/3)x
(B) (3/2)x
(C) (5/3)x
(D) 2x
(E) 3x

B.
From A to B, distance = d, time = X; therefore, speed = d/x
From B to A, distance = d, speed = 2*d/x; therefore, time = x/(2*d) * d = x/2
Total hours = x + x/2 = (3/2)x
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Posts: 11013
Re: Mr. Jones drove from Town A to Town B in x hours. On the  [#permalink]

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10 Aug 2017, 04:06
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Re: Mr. Jones drove from Town A to Town B in x hours. On the   [#permalink] 10 Aug 2017, 04:06
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