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# Two cars are traveling towards each other. If car A is traveling at a

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Math Expert
Joined: 02 Sep 2009
Posts: 51071
Two cars are traveling towards each other. If car A is traveling at a  [#permalink]

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30 Jun 2016, 06:46
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Difficulty:

5% (low)

Question Stats:

94% (01:53) correct 6% (03:04) wrong based on 130 sessions

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Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?

A. Six hours and 30 minutes.
B. Seven hours and 30 minutes.
C. Eight hours and 20 minutes.
D. Nine hours and 15 minutes.
E. Ten hours and 20 minutes.

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Re: Two cars are traveling towards each other. If car A is traveling at a  [#permalink]

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30 Jun 2016, 08:09
Answer is B: Seven hours and 30 minutes.

since they are travelling towards each other, the total speed is 50 mph + 50*0.88 = 94 mph (0.88 since, the other car is 12% less than first one)
Distance to be covered is 705, so time taken = distance/speed = 705/94 = 7.5 hours or 7 hours and 30 mins.
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Re: Two cars are traveling towards each other. If car A is traveling at a  [#permalink]

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30 Jun 2016, 09:39
Bunuel wrote:
Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?

A. Six hours and 30 minutes.
B. Seven hours and 30 minutes.
C. Eight hours and 20 minutes.
D. Nine hours and 15 minutes.
E. Ten hours and 20 minutes.

Speed of second train= 50*88/100= 44

Time= toral distance /total speed
705/ (50+44)= 705/94= 7.___

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Re: Two cars are traveling towards each other. If car A is traveling at a  [#permalink]

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03 Aug 2018, 14:07
Bunuel wrote:
Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?

A. Six hours and 30 minutes.
B. Seven hours and 30 minutes.
C. Eight hours and 20 minutes.
D. Nine hours and 15 minutes.
E. Ten hours and 20 minutes.

Car B is traveling at speed of 0.88 x 50 = 44 mph. If we let t = time, in hours, it takes for them to travel before meeting each other, we can create the equation:

50t + 44t = 705

94t = 705

t = 7.5 hours = 7 hours and 30 minutes

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Re: Two cars are traveling towards each other. If car A is traveling at a &nbs [#permalink] 03 Aug 2018, 14:07
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