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 27 of 35.
Adla said:
5 years ago
Car speed is x.
Speed of train = 150/100x= 3/2xkmph(explain 25*3/25*2).
75/x-75/3/2x = 12.5/60.
75/x-75/3/2x = 125/600.
75/x-75*2/3x = 5/24.
75/x-150/3x = 5/24.
75/x-50/x = 5/24.
25/x = 5/24.
x= 25*24/5.
x= 5*24.
x= 120.
Speed of train = 150/100x= 3/2xkmph(explain 25*3/25*2).
75/x-75/3/2x = 12.5/60.
75/x-75/3/2x = 125/600.
75/x-75*2/3x = 5/24.
75/x-150/3x = 5/24.
75/x-50/x = 5/24.
25/x = 5/24.
x= 25*24/5.
x= 5*24.
x= 120.
Jen said:
5 years ago
Thanks all.
Anjali said:
5 years ago
How 125/10 * 60 come at the initial step? Please explain.
Rishika said:
5 years ago
Why are we subtracting 75/x - 75/3/2x? Please explain.
Naga sai said:
5 years ago
@Rishika.
We are subtracting it because the time difference between them is 12.5 min.
We are subtracting it because the time difference between them is 12.5 min.
Anandhi said:
5 years ago
@Anjali.
12.5 minutes lost in stopping so(time difference).
12.5/60 (dividing by 60 for converting minutes to hours).
To remove decimal dividing by 10.
125/10 * 60.
12.5 minutes lost in stopping so(time difference).
12.5/60 (dividing by 60 for converting minutes to hours).
To remove decimal dividing by 10.
125/10 * 60.
Piyush said:
5 years ago
Can anyone please explain whole solution again?
Dimple said:
5 years ago
How come 3/2?
Aditya Mohanty said:
5 years ago
How come is the speed 125/10 * 60?
Nahid said:
5 years ago
Let,
Speed of the car= x kph.
So, speed of the train = x + 50% of x = (3x/2) kph.
Speed of the car= x kph.
So, speed of the train = x + 50% of x = (3x/2) kph.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers