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 10 of 35.
Prawinn said:
1 decade ago
Simple train and car reach the place in a same time if car takes 8 hours to reach the place train also take 8 hours that 8 hour be t+somewaste of time the diff b/w both train and car is 0.
So, t1-(t+x) = 0
=> t1-t = x .
So, t1-(t+x) = 0
=> t1-t = x .
Kiru said:
1 decade ago
Thanks senhil I understand easily.
Sreekanth said:
1 decade ago
Think... Y 3/2x came with an example...
if u think car has x speed, then train ll have 2x.
then substitute x with simple value..
x:2x
if x=10 then
10:20
it mean train has double value of car speed.
but x:3/2x
then 10:15x
In which train has 50% faster than car.
50% of car is 5. so 10+5=15.
if u think car has x speed, then train ll have 2x.
then substitute x with simple value..
x:2x
if x=10 then
10:20
it mean train has double value of car speed.
but x:3/2x
then 10:15x
In which train has 50% faster than car.
50% of car is 5. so 10+5=15.
Arun said:
1 decade ago
Rameez your explanation is great.
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?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers