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:
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 5 of 35.
Mysterious said:
1 decade ago
Friends......
let speed of car be x
thus, speed of train (150/100)x (stated that train is 50% faster than car)
now since the train lost 12.5 mins. i.e. the difference between time taken by car and time taken by train is 12.5 mins,
and since TIME=DISTANCE/SPEED
time taken by car= 75/x
time taken by train= 75/(150/100)x or 75/(3/2)x
and the difference between time taken by car and time taken by train is 75/x - 75/(3/2)x = 125/10*60.
x=120 kmph
let speed of car be x
thus, speed of train (150/100)x (stated that train is 50% faster than car)
now since the train lost 12.5 mins. i.e. the difference between time taken by car and time taken by train is 12.5 mins,
and since TIME=DISTANCE/SPEED
time taken by car= 75/x
time taken by train= 75/(150/100)x or 75/(3/2)x
and the difference between time taken by car and time taken by train is 75/x - 75/(3/2)x = 125/10*60.
x=120 kmph
Srihari said:
1 decade ago
Tell me about 12.5/100*60 ?
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 .
So just to 12.5/60 = 5/24 .
Swetha said:
1 decade ago
@mysterious
well explanation mysterious..thank you!!!
well explanation mysterious..thank you!!!
Priyanga said:
1 decade ago
Please explain me in a easy manner I could n't understand it.
Yesoda said:
1 decade ago
How do you get 150/100?
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.
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.
Kasi Srinivas said:
1 decade ago
@ mysterious.
Thank you dude :) I understood.
Thank you dude :) I understood.
Raul said:
1 decade ago
100*(t)=150*(t+12.5)
t=37.5min
t
=37.5/60hr
speed=(75*60)/37.5
=120
t=37.5min
t
=37.5/60hr
speed=(75*60)/37.5
=120
Bhupat said:
1 decade ago
All righ but my question is. No body has taken 12.5 minus loss in train speed calculation. Why?
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