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A train travels at an average speed of 90 km/hr without any stoppages.

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A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 29 Jan 2019, 03:34
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (01:33) correct 52% (01:59) wrong based on 105 sessions

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A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60 km/hr on account of stoppages. On an average, how many minutes per hour does the train stop?

(A) 12 minutes
(B) 18 minutes
(C) 20 minutes
(D) 24 minutes
(E) 30 minutes

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Re: A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 29 Jan 2019, 03:44
Bunuel wrote:
A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60 km/hr on account of stoppages. On an average, how many minutes per hour does the train stop?

(A) 12 minutes
(B) 18 minutes
(C) 20 minutes
(D) 24 minutes
(E) 30 minutes


in 60 minutes the train is supposed to travel 90 km without stoppages

actually, in 60 minutes the train travels 60 km with stoppages i.e. 30 km less

with average speed 90 km/hr, the time taken by train to travel 30 km = 30/90 = 1/3 hours = 20 minutes

i.e. Train stops for 20 minutes every hour

Answer: Option C
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Re: A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 29 Jan 2019, 04:06
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Bunuel wrote:
A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60 km/hr on account of stoppages. On an average, how many minutes per hour does the train stop?

(A) 12 minutes
(B) 18 minutes
(C) 20 minutes
(D) 24 minutes
(E) 30 minutes



distance travelled @90kmph = 90 km and at 60kmph = 60 km ; difference in distance = 90-60 ; 30 km

@90kmph the distance of 30 km ; time would be would be 30/ 90 = 1/3 hrs or 20 mins
IMO C
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Re: A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 12 Mar 2019, 03:43
1
Actual Speed of the train = 90 KM/Hr = 1.5 KM / Min
Distance Travelled = 60 KM, Speed = 1.5 Km / Min, hence time = 60/1.5=>40 Mins

Halt Minutes = 60 - 40 =>20 Mins
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Re: A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 28 Apr 2019, 12:43
Don't we need to assume for that answer that we can ignore the deceleration of the train when arriving at a stop?
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A train travels at an average speed of 90 km/hr without any stoppages.  [#permalink]

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New post 28 Apr 2019, 22:44
Let's say the distance the train travels is D kilometers. Thus, with stoppages it takes D/60 hrs and without stoppages it would have taken D/90 hrs. So for a D/60 hour trip, the train loses D/180 hrs (D/60 - D/90). Therefore, the time lost PER HOUR due to stoppages is:
(D/180)/(D/60)=1/3 hrs=20 minutes. Ans: C
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A train travels at an average speed of 90 km/hr without any stoppages.   [#permalink] 28 Apr 2019, 22:44
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