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

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Bunuel
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A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 02:02
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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.
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 02:31
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Bunuel 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.


We have to find the difference. Barman train will require 850/250 = 3.4 hours - 204 mins
Since the speed of regular train is 68%, it will require 100/68 (since 68 % - 68/100) times barman's time.
Now we need to find the difference, so (100-68)/68 = 32/68 * 204 = 96 mins
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 03:45
Bunuel 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.


Barman's Train would cover the distance in = 850/250 = 3.4Hrs or 3 Hrs & (\(\frac{4}{10}\)*60) = 3Hrs & 24 Mins
Passenger train travel @ 68% speed of Barman's train i.e 68% of 750Km/Hr = 170 Km/Hr
Passenger Train would cover the distance in = 850/170 =5Hrs

Hence the difference in time would be = 5Hrs - 3Hrs & 24Mins = 1 Hr & 36 Mins

Bunuel Please give kudos for correct answers.
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 04:02
Bunuel 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.

B train speed 250
P train speed 250(68/100) =170

Difference of speed

B-P = 80 km/hrs

Total distance = 850

Additional Time taken 850/80

1h36min

Kudus pls

Sent from my Le X507 using GMAT Club Forum mobile app
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 04:36
Bunuel 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.


Difference in time = time taken by passenger train- time taken by barman's train

850/(250*68) *100 - 850/250

850 (100/ 250*68 - 1/250)
850*32/ (250*68)
1.6 hrs or 1 hr and 36 mins

B is the answer
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A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 19:28
(100/68)(850/250)-(850/250)=1.6 hrs→1 hr 36 min
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   13 Jul 2016, 23:23
Bunuel 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.



Relative speed=250-170=80
Time=Distance/speed
=850/80
=1hr 36m
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink] New post   07 Nov 2019, 00:46
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Re: A Barman's train rails across an open track at 250 kilometers per hour [#permalink]
07 Nov 2019, 00:46
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