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Excluding stoppages, the speed of a train is 40 km/hand including stop
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Author:  Bunuel [ 29 Jan 2021, 09:00 ]
Post subject:  Excluding stoppages, the speed of a train is 40 km/hand including stop

Excluding stoppages, the speed of a train is 40 km/hand including stoppage, it is 32 km/h. For how many minutes does the train stop per hour ?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 20

Author:  CrackverbalGMAT [ 29 Jan 2021, 09:12 ]
Post subject:  Re: Excluding stoppages, the speed of a train is 40 km/hand including stop

Without stoppage he travels 40 km in 60 minutes. Therefore he travels 1 km every 60/40 = 3/2 minutes

With stoppage he travels 32 km in 1 hour.

To travel 32 km, he requires 32 * (3/2) = 48 minutes

Therefore his stoppage time is 60 - 48 = 12 minutes


Option B

Arun Kumar

Author:  meanup [ 29 Jan 2021, 10:00 ]
Post subject:  Excluding stoppages, the speed of a train is 40 km/hand including stop

\(\frac{S_{excluding}}{S_{including}}=\frac{40}{32}=\frac{5}{4}\)

\(\frac{T_{excluding}}{T_{including}} = \frac{4}{5}\)

Refer to the image for more information.

Ans B

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Author:  Nik11 [ 13 Mar 2021, 00:25 ]
Post subject:  Re: Excluding stoppages, the speed of a train is 40 km/hand including stop

Bunuel wrote:
Excluding stoppages, the speed of a train is 40 km/hand including stoppage, it is 32 km/h. For how many minutes does the train stop per hour ?

(A) 10
(B) 12
(C) 15
(D) 18
(E) 20


I got the point of the above-mentioned methods, but I offer an alternative from my point of view much more intuitive.

LCM for a smart distance ----> 160km
At 40 km/h this distance is covered in 4 hours
At 32 km/h is covered in 5 hours
Good 1 hour of difference, hence (1/5) * 60 min is time per min spent in stoppages ---> 12 minutes

Author:  bumpbot [ 28 Jun 2022, 13:39 ]
Post subject:  Re: Excluding stoppages, the speed of a train is 40 km/hand including stop

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