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Two cars are traveling in the same direction along the same route. The

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Math Expert
Joined: 02 Sep 2009
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Two cars are traveling in the same direction along the same route. The  [#permalink]

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08 Sep 2016, 04:26
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Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?

A. 0.1
B. 0.6
C. 1
D. 1.2
E. 2

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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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08 Sep 2016, 04:40
Relative speed is 10 mile per hour and distance to travel is 20 miles. Time take to travel this distance is (20/10). Hence, it will take the black car 2 hours to cross the red car. Option E

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Joined: 05 Sep 2015
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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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09 Sep 2016, 01:23
1
time = distance between the cars/ relative speed.
relative speed here is 50-40 , since they are going in the same direction.
time= 20/50-40 = 2 hours.
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Joined: 15 Apr 2016
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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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09 Sep 2016, 01:54
Option E

20+40t=50t
t=2
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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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06 Sep 2017, 04:49
Bunuel wrote:
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?

A. 0.1
B. 0.6
C. 1
D. 1.2
E. 2

Using the concept of relative speed in same direction gives Distance/Relative speed of black car to red.

i.e; 20/10 = 2hrs.

Ans:E
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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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11 Sep 2017, 10:58
Bunuel wrote:
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?

A. 0.1
B. 0.6
C. 1
D. 1.2
E. 2

We can use the following formula:

time = (change in distance)/(change in rate)

time = 20/10 = 2 hours

Answer: E
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Re: Two cars are traveling in the same direction along the same route. The  [#permalink]

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01 Oct 2018, 17:38
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Re: Two cars are traveling in the same direction along the same route. The   [#permalink] 01 Oct 2018, 17:38
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