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

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Manager
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Mr. Jones drove from Town A to Town B in x hours. On the [#permalink]

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New post 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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Re: PS: round trip [#permalink]

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New post 07 Apr 2008, 17:48
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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

Question asks for x+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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Re: PS: round trip [#permalink]

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New post 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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Re: Mr. Jones drove from Town A to Town B in x hours. On the [#permalink]

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

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