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 31 of 35.
Purvi said:
5 years ago
How can we assume that car speed is 100 not other than that speed?
Yash said:
5 years ago
Let Car speed is x.
The train speed is 50% faster than x.
Then the train speed is x+50%of x.
x+50x/100 =150x/100.
The train speed is 50% faster than x.
Then the train speed is x+50%of x.
x+50x/100 =150x/100.
Sulbha said:
5 years ago
How can we decide that train speed is more than 50% means? Car speed is 100? how come.
We can assume anything why 100?
We can assume anything why 100?
Ramesh said:
5 years ago
Thanks @Bhavana.
Rohith said:
5 years ago
Can someone give a clear explanation for this problem?
Surya said:
5 years ago
75/x - 75/(3/2) =125/10*60.
Anyone can explain this?
How this 125/10*60 came?
Anyone can explain this?
How this 125/10*60 came?
Rezviii said:
5 years ago
Why dividing 125 by 10* 60?
Please explain it.
Please explain it.
Kalyan said:
5 years ago
Can you explain how 150/100 came?
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.
Anjali said:
5 years ago
How 125/10 * 60 come at the initial step? Please explain.
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