Latest Book Aptitude Question SOLUTION: The speed of an express train is x km/h and the speed of a ordinary train is 12 km/h less than that of express train. If the ordinary train takes 1 hr longer than the express trai

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(#M40019853) BOOK question speed Keep an EYE

The speed of an express train is x km/h and the speed of a ordinary train is 12 km/h less than that of express train. If the ordinary train takes 1 hr longer than the express train to cover a distance of 240 km find the speed of the express train.

Asked In Book Harsh Poddar (10 years ago)

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vijayraj  (10 years ago)

let express speed be "v" and time be "t"
And so the speed of passenger is "v-12" and time taken is "1+t"
as the distance traveled is same for both trains,equate distance of both trains
1) for express distance
(240)=v*t
v=240/t------------

2) for passenger distance(240)=(v-12)*(t+1)
use in (2)
(240/t)-12=(240/(1+t))
rearranging we get quadratic equation
240t=240+240t-12t-12t(square)
solving we get "t" value as 4

3) and use value of t in
answer is speed of express is 60km/hr

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vanshika  (10 years ago)

distance is same for both the trains
given that speed of ordinary is x-12
we can say that difference between time taken by both the trains is 1 hr
240/(x-12) -240/x = 1
by solving this x=60kmhr

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Devendra Marghade  (10 years ago)

60 km/h
If speed(km/h) of an express train =x & ordinary train=x-12
then [240/(x-12)- 240/x ]=1
x^2-12x-2880=0 or (x-60)(x+48)=0, x=60 km/h

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