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A Barman's train rails across an open track at 250

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by M7MBA » Wed Jun 06, 2018 1:01 am
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A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?

A. 1 hour and 24 minutes.
B. 1 hour and 36 minutes.
C. 2 hours and 24 minutes.
D. 2 hours and 36 minutes.
E. 5 hours.

The OA is the option B.

Is there a strategic approach to solve this PS question? Could someone give me some help? Thanks in advance.
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by Scott@TargetTestPrep » Thu Jun 07, 2018 4:16 pm
M7MBA wrote:A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?

A. 1 hour and 24 minutes.
B. 1 hour and 36 minutes.
C. 2 hours and 24 minutes.
D. 2 hours and 36 minutes.
E. 5 hours.
The speed of the passenger train is 250 x 0.68 = 170 kmph.

So it takes the passenger train 850/170 = 5 hours to travel 850 km, but it only takes the Barman’s train 850/250 = 3.4 hours to travel the same distance. Therefore, the passenger train takes 5 - 3.4 = 1.6 hours, or 1 hour and 36 minutes longer.

Answer: B

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