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A car traveling at a certain constant speed takes 2 seconds longer to

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A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 08 Sep 2010, 10:30
2
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:41) correct 30% (02:34) wrong based on 109 sessions

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A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?

A. 71.5
B. 72
C. 72.5
D. 73
E. 73.5
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Re: A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 08 Sep 2010, 10:42
udaymathapati wrote:
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A. 71.5
B. 72
C. 72.5
D. 73
E. 73.5


B

75 * T = 1 km => T = 1/75 km/h

V*(T+2/3600) = 1

V (1/75 + 2/3600) = 1 => V = 72 km/h
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Re: A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 08 Sep 2010, 18:48
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If a car travels at speed of 75 kilometer per hour ,time( in hours) it takes to travel 1 kilometer = 1/75 hours = 3600 /75 seconds = 48 seconds.

It is given that it took 2 more seconds to travel than it would take at speed of 75 kph so the time it took is 48 +2 = 50 seconds

new speed = 3600 /50 kilometer per hour = 72 <--Answer B.
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Re: A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 09 Sep 2010, 06:18
The similar problems with a few different solving methods is at Youtube:


http://www.youtube.com/watch?v=KkF7qq0glLA

http://www.youtube.com/watch?v=FC2JtUFt-jE
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Re: A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 09 Sep 2010, 06:37
amitjash wrote:
This is paper test problem and i took long time to solve it


There is another problem like this one. It has the same fundamentals, however, worded different, which makes it look much tougher. You might want to take a look at that. It has something to do with two cars travelling towards each other and crossing at a certain point. It goes on to say that if Car A travelled so much faster, then they would cross so many miles away from the earlier crossing point.
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Re: A car traveling at a certain constant speed takes 2 seconds longer to  [#permalink]

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New post 12 Oct 2017, 17:01
udaymathapati wrote:
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?

A. 71.5
B. 72
C. 72.5
D. 73
E. 73.5


If a car is traveling at 75 km per hour, then the number of seconds (x) it takes to travel 1 km can be calculated using the following proportion (note that 1 hour = 3,600 seconds):

75/3600 = 1/x

75x = 3600

x = 48 sec.

Thus, it takes 48 seconds to travel 1 km if the speed is 75 km/h. Since the car actually takes 2 more seconds (i.e., 50 seconds) to travel 1 km, its speed (r) can be calculated using the following proportion:

r/3600 = 1/50

50r = 3600

r = 72 km/h

Answer: B
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Re: A car traveling at a certain constant speed takes 2 seconds longer to &nbs [#permalink] 12 Oct 2017, 17:01
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