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:
350 comments Page 17 of 35.
Mancy said:
1 decade ago
Still I have a one confusion in my mind that why we are taking speed of a train as,
(50% of car+x) instead of 50% more i.e (50%+x).
(50% of car+x) instead of 50% more i.e (50%+x).
Helip said:
6 years ago
If we have to convert the minute in the second we will multiply with 60 then what does it mean in solution 125/10*60? Please tell me.
Pravin said:
1 decade ago
Time taken for car - time taken for train = 5/24 hr.
This equation is derived because both start at same time and end at same time.
This equation is derived because both start at same time and end at same time.
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:
4 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:
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.
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