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

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

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New post 10 Aug 2017, 04:11
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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: Mr. Jones drove from Town A to Town B in x hours. On the return trip  [#permalink]

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New post 10 Aug 2017, 06:06
Answer - b
from a to b
t = x hrs (assume)
speed = y (assume)
speed is inversley prop. to time
So, y =k/x ( k is constant)
k= xy

From b to a
s= 2y
speed is inversely prop to time
so, 2y=k/t ( k is constant)
hence t =x/2

total time = x+x/2=3x/2
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Re: Mr. Jones drove from Town A to Town B in x hours. On the return trip  [#permalink]

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New post 10 Aug 2017, 06:57
During up trip he consumed X hour
During return since his speed was twice this mean he consumed half time as compared to up trip so it will be X/2
now sum the total trip
Total=X+X/2
3X/2
Option:B
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Re: Mr. Jones drove from Town A to Town B in x hours. On the return trip  [#permalink]

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New post 10 Aug 2017, 11:35
Bunuel 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


Let the distance between town A and B is 100 km
Let average speed from A to B SpeedAB = 50 km/h
Time taken for Jones to drive from town A to B , x = 100/50 = 2 hours

On the return trip from B to A over the same route , his average spped = 100km/h
Time taken for Jones to drive from town B to A = 100/100 = 1 hour
Total time taken = 3 hours

Now testing using answer options
(A) (2/3)x = 2/3 * 2 = 4/3 Not equal to 3
(B) (3/2)x = (3/2)*2 = 3 Correct
(C) (5/3)x = 10/3 - Not equal to 3
(D) 2x = 4 - Not equal to 3
(E) 3x = 6 -Not equal to 3

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

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New post 10 Aug 2017, 12:23
Bunuel 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


twice the speed=half the time returning
x+(1/2)x=(3/2)x
B
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Re: Mr. Jones drove from Town A to Town B in x hours. On the return trip  [#permalink]

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New post 15 Aug 2017, 10:50
Bunuel 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


We are given that his driving time from Town A to Town B is x hours, and on his return trip, his average speed was twice as fast. Because of that, his driving time for his return trip from Town B to Town A will require half as much time, or x/2 hours. Thus, his total driving time is x + x/2 = 3x/2 hours.

Answer: B
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Re: Mr. Jones drove from Town A to Town B in x hours. On the return trip   [#permalink] 15 Aug 2017, 10:50
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