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:
353 comments Page 18 of 36.
Sushil said:
2 decades ago
Let the car speed is x kmph
ie,the car speed is 100x kmph
Then train speed is 150kmph
equation is 75/1.5x+12.5/60=75/x
x=120kmph
ie,the car speed is 100x kmph
Then train speed is 150kmph
equation is 75/1.5x+12.5/60=75/x
x=120kmph
Rahul said:
9 years ago
@Jignesh.
Time is given in minutes. So to change it in hours, it is divided by 60.
And 10 has been placed for the decimal point.
Time is given in minutes. So to change it in hours, it is divided by 60.
And 10 has been placed for the decimal point.
Anisha patel said:
1 decade ago
Hi, Actually we get speed as 25 only since.
Speed = Distance/(Time x Extra time).
Speed = 25/(125/600) => (25 x 24)/5 = 120.
Speed = Distance/(Time x Extra time).
Speed = 25/(125/600) => (25 x 24)/5 = 120.
Vishnu b nair said:
9 years ago
The speed of both of them is 100 per cent and the train is 50% more faster than car it means the train have the 100 + 50 = 150%.
Raj said:
2 decades ago
Hi, actually we get speed as 25 only since
Speed = Distance/(Time x Extra time)
Speed = 25/(125/600) => (25 x 24)/5 = 120.
Speed = Distance/(Time x Extra time)
Speed = 25/(125/600) => (25 x 24)/5 = 120.
Prasad said:
2 decades ago
Train speed is 50% more than car, so it is 1/2 % more speed than car .
So it is 1 and 1/2 == 3/2 ( as car 100% it will be 1).
So it is 1 and 1/2 == 3/2 ( as car 100% it will be 1).
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 .
Sai Durga said:
3 years ago
Let the speed of the car be x.
Now, the train is 50% faster than a car,
i.e. speed of the train = x + (50/100)x.
= 150x/100.
Now, the train is 50% faster than a car,
i.e. speed of the train = x + (50/100)x.
= 150x/100.
(55)
Hannu said:
6 years ago
If the speed of car is 100 then 50% of 100 is 50.
And the speed of the train is 50% more than of car speed.
so 150*x/100.
And the speed of the train is 50% more than of car speed.
so 150*x/100.
Dhinesh said:
1 decade ago
Let Speed of the car=x.
Train Speed=Speed of car+50% (Speed of car).
=> x + 50/100 (x).
=> x + x/2.
=> 3x/2.
Train Speed=Speed of car+50% (Speed of car).
=> x + 50/100 (x).
=> x + x/2.
=> 3x/2.
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