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Without stoppages a train travels a certain distance with an

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Without stoppages a train travels a certain distance with an [#permalink]

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Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Oct 2013, 02:16, edited 2 times in total.
Renamed the topic, edited the question and added the OA.

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Re: train stoppage time [#permalink]

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New post 17 Apr 2010, 13:04
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Let the distance be 240, t1 = 240/80 = 3 hours
t2 = 240/60 = 4 hours

difference in time = (4-3) = 1 but this is per 4 hours.

so the difference per hour is 1/4 which is 15 mins/hour....
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Re: train stoppage time [#permalink]

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New post 17 Apr 2010, 17:57
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A much faster way is to determine how long it would take this train to travel 60 km at 80 km/h. 6/8 = 3/4 = 45 minutes of an hour, this means the train travels for 45 minutes to travel that distance and thus rests for 15 minutes. Just solved this problem in ~ 20 seconds with this method which is well below the 1 minute time constraint.

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Re: train stoppage time [#permalink]

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Zehnze wrote:
A much faster way is to determine how long it would take this train to travel 60 km at 80 km/h. 6/8 = 3/4 = 45 minutes of an hour, this means the train travels for 45 minutes to travel that distance and thus rests for 15 minutes. Just solved this problem in ~ 20 seconds with this method which is well below the 1 minute time constraint.

thank you, your method is really good, just need to strike at right time.

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Re: train stoppage time [#permalink]

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New post 08 Oct 2013, 13:02
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sol:

80t = 60 (t+s)

t= usual time
S= stop time
t=3s

question wants us to find how much time per hour

t+s= 1 hr
4s= 60 min
s= 15 min

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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einstein10 wrote:
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None


Pick a smart number for the distance. lets say LCM 240

Without = 240/80 = 3 hours
With = 240/60= 4 hours

So in a trip of 4 hours, 1 hour is spent in stoppages

Hence, 60/4 = 15 min/hr on stoppages

Hope its clear
Cheers!

J :)

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 21 Sep 2014, 04:17
einstein10 wrote:
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None



1) there is a difference of 20kmph = 1/4th of 80kmph
2) that means train stops for 1/4th of an hour = 15 m/hr

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 31 Oct 2015, 14:05
Hello from the GMAT Club BumpBot!

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Without stoppages a train travels a certain distance with an [#permalink]

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New post 01 Nov 2015, 11:15
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None

let distance=80 k
stopping train's running time at 80 kmph=1 hour
let s=stopping time
80 k/(1+s) hr=60 kmph
s=1/3 hours
total time=1+1/3=4/3 hr
(1/3)/(4/3) hrs=1/4=15 minutes per hr stopping time
A

Last edited by gracie on 30 Sep 2017, 21:08, edited 2 times in total.

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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the train is travelling 20 kms less an hour..
20kms it could have covered in 20/80=1/4th hour or 15 mins
hence the train stops for 15 mins evry hour.

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 29 Jun 2017, 22:11
Hello from the GMAT Club BumpBot!

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 29 Jun 2017, 22:54
einstein10 wrote:
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None

The average speed is reduced by 1/4 th. So actual time traveled per hour is reduced by 1/4th. So the train stops 15 min/hr.
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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 30 Jun 2017, 10:19
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Actual speed of train = 80km/hr. On stopping this reduces to 60km/hr. That is it loses 20km worth of time. For traveling 20km the train takes 20/80 hrs = 15 minutes.

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 30 Jun 2017, 11:23
einstein10 wrote:
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None

Using formula

Time = Diff of Speed/Speed with stoppage*60

Or, Time = \(\frac{80 - 60}{80}*60\)

Or, Time = 15 Min/Hr

Thus, answer must be (A) 15

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Without stoppages a train travels a certain distance with an [#permalink]

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New post 30 Jun 2017, 13:15
einstein10 wrote:
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 60 kmph. What is the time in minutes per hour for which train stops?

A. 15 min/hr
B. 10 min/hr
C. 20 min/hr
D. 25 min/hr
E. None


let distance=80 k
80 k/80 kph=1 hr running time
80 k/60 kph=4/3 hr total time
1:4/3=3/4 ratio of running time to total time
thus, ratio of stopping time to total time=1/4
60 min/4=15 min
15 min/hr
A

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Re: Without stoppages a train travels a certain distance with an [#permalink]

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New post 30 Sep 2017, 10:46
Here is a short trick or formula for this type of questions
Time= difference in speed/speed without stoppage
So from the question
Difference in speed=80-60=20
Speed without stoppage =80
Put the value
T= 20/80= 1/4 hr
Now 1/4*60
=15 min/hr

Posted from my mobile device

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Re: Without stoppages a train travels a certain distance with an   [#permalink] 30 Sep 2017, 10:46
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