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# A race car can travel 120 mph without any wind. If the car can travel

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A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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20 Oct 2018, 09:20
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Difficulty:

45% (medium)

Question Stats:

71% (01:51) correct 29% (02:02) wrong based on 38 sessions

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A race car can travel 120 mph without any wind. If the car can travel 200 miles with the wind in the same amount of time the car takes to go 100 miles against the wind, what is the speed of the wind?
A) 24 mph
B) 30 mph
C) 40 mph
D) 45 mph
E) 60 mph

GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 5

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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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20 Oct 2018, 09:26
100/(c-w) = 200/(c+w), where c is speed of car and w is speed of wind
c+w= 2c-2w
which gives c=3w
hence speed of wind= 40m/hr
option C
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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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20 Oct 2018, 09:26
C.

Since time is same, 200/120+x = 100/120-x. wind speed is 40.
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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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20 Oct 2018, 09:27
C: 40mph
The time it takes the car to travel 100 miles against the wind is:
T= 100 / (120-w)

Plug that in to (120+w)T = 200
(120 + w ) (100 / (120-w)) = 200
we get w = 40
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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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20 Oct 2018, 09:34

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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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25 Oct 2018, 11:00
Since it takes the car to travel the double distance in the same amount of time, then the speed with wind should be the double the speed of the car without a wind.

The speed = 120mph => only 120 - 40 = 80 and 120 + 40 = 160 satisfy this condition
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Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

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25 Oct 2018, 11:13
gmatbusters wrote:
A race car can travel 120 mph without any wind. If the car can travel 200 miles with the wind in the same amount of time the car takes to go 100 miles against the wind, what is the speed of the wind?
A) 24 mph
B) 30 mph
C) 40 mph
D) 45 mph
E) 60 mph

GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 5

Time = Distance/Speed

We are given the time is equal

$$\frac{200}{(120+w)} = \frac{100}{(120-w)}$$

cross multiply we get $$200*120 - 200w = 120*100 + 100w$$

it becomes$$2*100*120 - 100*120 = 300w$$

$$100*120 = 300w$$

$$120 = 3w$$

w = 40

Re: A race car can travel 120 mph without any wind. If the car can travel &nbs [#permalink] 25 Oct 2018, 11:13
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