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:
345 comments Page 17 of 35.
Manju said:
2 years ago
150/100 came because train is 50% faster
So, first find the 50% of 100 = that is 50.
Now add the 50 to the total 100% of car = 150.
So, first find the 50% of 100 = that is 50.
Now add the 50 to the total 100% of car = 150.
(83)
Hari said:
2 decades ago
Car speed be x then train speed is 50% more so. It must be 100+50 if we take car speed in percentile.
So train speed is 150/100 x.
So train speed is 150/100 x.
Priyam said:
5 years ago
@Aditya Mohanty.
For converting the minute into the hour we take 12.5/60 and when we remove the decimal point it became 125/60*10.
For converting the minute into the hour we take 12.5/60 and when we remove the decimal point it became 125/60*10.
Naz said:
3 years ago
75/x * 1.5 = 75/x-12.5 (speed of car * 1.5 = speed pf train).
X= 37.5 time taken (min).
Car speed 75/(37.5/60) as time was in mins.
X= 37.5 time taken (min).
Car speed 75/(37.5/60) as time was in mins.
(6)
Sushil said:
1 decade 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:
8 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:
1 decade 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).
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