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 35 of 35.
Shubham Boni said:
5 years ago
The Answer method, I correct with 1 simple mistake in calculations.
75/x - 75/(3x/2) = 12.5 minutes.
Now, the equation is correct but Now since time is in Minutes we need to convert it into seconds.
We Know, 1min = 60seconds this means, 12.5min = (12.5X 60)seconds.
75/x - 75/(3x/2) = 12.5 minutes.
Now, the equation is correct but Now since time is in Minutes we need to convert it into seconds.
We Know, 1min = 60seconds this means, 12.5min = (12.5X 60)seconds.
Rajuuu said:
4 years ago
Can anybody explain if both the vehicle reaches at the same time then where is the delay arises I am talking about if two vehicles reach at the same time then how this equation came?
(75/x) - (75/ (3/2) x) =12.5/60, 12.5 minutes delay will not be there if both the vehicles reach at the same time please help,
Let me explain, the time taken by car to reach B point is 40 min (just assume). Then the time taken by train is 27.5 min without stopping in stations. Hence 12.5 equal to the time taken by car (-) time taken by train without a stop in stations.
Hope you understand, thank you.
(75/x) - (75/ (3/2) x) =12.5/60, 12.5 minutes delay will not be there if both the vehicles reach at the same time please help,
Let me explain, the time taken by car to reach B point is 40 min (just assume). Then the time taken by train is 27.5 min without stopping in stations. Hence 12.5 equal to the time taken by car (-) time taken by train without a stop in stations.
Hope you understand, thank you.
Insane said:
4 years ago
If you guys wonder how did 12.5 converts in 125/60*10 then;
As 12.5 min should be converted into hours.
So, 12.5/60 (to remove decimal from 12.5 bcos we cant divide),
We add * 10,
125/ 60*10 or 125/600.
As 12.5 min should be converted into hours.
So, 12.5/60 (to remove decimal from 12.5 bcos we cant divide),
We add * 10,
125/ 60*10 or 125/600.
Arvind said:
4 years ago
T = D/S
T = 75/X-75/1.5X = 12.5/60.
T = 75/X-75/1.5X = 12.5/60.
Bishal Subba said:
4 years ago
@All.
It is just 12.5/60 in the RHS eliminate the 10.
You will get the answer as 120kmph.
It is just 12.5/60 in the RHS eliminate the 10.
You will get the answer as 120kmph.
Navin said:
4 years ago
@Sahil Tiwari.
Thanks for explaining the answer in the simplest way.
Thanks for explaining the answer in the simplest way.
Shruti said:
4 years ago
Let speed of car be x km/hr,
100% speed of car is x.
150% speed of train is x/100*150,
= 150x/100.
100% speed of car is x.
150% speed of train is x/100*150,
= 150x/100.
Golu said:
4 years ago
Thanks everyone for explaining the answer in a better way.
Shivam said:
4 years ago
Thanks for explaining the answer.
Ayush said:
4 years ago
Please anyone can explain since the speed of the train is 1.5 * speed of the car, so how in the solution we are taking that difference of time is 12.5 min. How we come to know that if 12.5min added to the time taken by car will equal to the time taken by train?
Since the speed of both is different so how can they have time taken by car = T and by train =T+12.5 * 60.
Since the speed of both is different so how can they have time taken by car = T and by train =T+12.5 * 60.
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