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

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Director
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Mr. Jones drove from Town A to Town B in x hours. On the [#permalink] New post 17 Sep 2007, 19:12
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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) 2x/3
(B) 3x/2
(C) 5x/3
(D) 2x
(E) 3x
Director
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Re: Mr. Jones travels [#permalink] New post 17 Sep 2007, 19:14
ggarr 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) 2x/3
(B) 3x/2
(C) 5x/3
(D) 2x
(E) 3x


B
Simple while coming since speed was double time taken was half the original x/2
So total time x+ x/2 = 3x/2
Manager
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 [#permalink] New post 17 Sep 2007, 19:35
You cannot add rates in Motion problems. you can only add rates in Work / rate problems

Given this ,

Onward

rate = r

time =x

distance = rx

Toward

rate = 2r

time = t2
distance = rx

you can solve for t2 given this

2r * t2 = rx

t2-= x/ 2

Total time = X + X/2 = 3x/ 2
CEO
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Re: Mr. Jones travels [#permalink] New post 17 Sep 2007, 20:10
ggarr 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) 2x/3
(B) 3x/2
(C) 5x/3
(D) 2x
(E) 3x



traveled X hours from A to B.

Traveled X/2 hours from B to A.

X+X/2--> 2X/2+X/2=3X/2

B
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 [#permalink] New post 17 Sep 2007, 21:48
Let distance = D km/h

D = s(x) km

Let time taken for return trip be t

D = 2s(t) km

s(x) = 2s(t)
t = x/2 hours

total time = x + x/2 = 3x/2
  [#permalink] 17 Sep 2007, 21:48
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