Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 4)
4.
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
100 kmph
110 kmph
120 kmph
130 kmph
Answer: Option
Explanation:

Let speed of the car be x kmph.

Then, speed of the train = 150 x = 3 x kmph.
100 2

75 - 75 = 125
x (3/2)x 10 x 60

75 - 50 = 5
x x 24

x = 25 x24 = 120 kmph.
5

Discussion:
342 comments Page 30 of 35.

Sravya said:   1 decade ago
Thank you so much @kanchana.

Khanchana said:   1 decade ago
Suppose speed of the car = xkm/hr(1)
speed of the train = 50% more than that of train
= x + 50/100x
= (100x + 50x)/100
= 150x/100 = 3/2x ------------>(2)
delay of train = 12.5 mins= 12.5 * 10/60*10 hrs

Bhupat said:   1 decade ago
All righ but my question is. No body has taken 12.5 minus loss in train speed calculation. Why?

Raul said:   1 decade ago
100*(t)=150*(t+12.5)
t=37.5min
t
=37.5/60hr
speed=(75*60)/37.5
=120

Kasi Srinivas said:   1 decade ago
@ mysterious.

Thank you dude :) I understood.

R.Sreekanth said:   1 decade ago
@Yesoda

They given speed is 50% more than car so,

We don't know car speed,let consider car speed as X.

So, the train speed is 50% more than car(i.e, when ever we talking about anything in the form of % we must add or subtract from 100. Then convert it into [total/100], total= % + 100 ).

Therefore: the train speed is [(50+100)/100] more speed of car.

So, the train speed is = (150/100)*x.

Yesoda said:   1 decade ago
How do you get 150/100?

Priyanga said:   1 decade ago
Please explain me in a easy manner I could n't understand it.

Swetha said:   1 decade ago
@mysterious

well explanation mysterious..thank you!!!

Hab said:   1 decade ago
Since the time taken is in kilometers per hour then we need to convert 12.5 minutes into hours.

So just to 12.5/60 = 5/24 .


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