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 7 of 35.
ANom said:
1 month ago
Speed of car =2/3 the speed of the train.
ie Vc=2/3 Vt, therefore,
Time taken by car =3/2 Time taken by train ie.Tc=3/2 Tt.
Also,
Tc = Tt+15/60 hr ie. Tc = Tt + 1/4.
Therefore:
3/2 Tt = Tt+1/4
Tt = 1/2 = 0.5 hr.
Therefore, Tc = 0.75 = hr.
Distance = v x t.
75 km = Vc x 0.75,
Vc = 100km
Vt = 120.
ie Vc=2/3 Vt, therefore,
Time taken by car =3/2 Time taken by train ie.Tc=3/2 Tt.
Also,
Tc = Tt+15/60 hr ie. Tc = Tt + 1/4.
Therefore:
3/2 Tt = Tt+1/4
Tt = 1/2 = 0.5 hr.
Therefore, Tc = 0.75 = hr.
Distance = v x t.
75 km = Vc x 0.75,
Vc = 100km
Vt = 120.
(1)
Abhishek S k said:
1 week ago
I didn't understand this, anyone please explain to me?
(1)
Chandra mouli said:
2 decades ago
Let car speed be xkmph
then train speed is 50% more than car speed
ie 50/100*x
then train speed is 50% more than car speed
ie 50/100*x
Komal said:
2 decades ago
I think there should be 50x/100 & not 150x/100 is it?
Xyz said:
2 decades ago
When we take 50x/100
we get x=[-75* 24]/5 = - 360kmph
its not in the option
we get x=[-75* 24]/5 = - 360kmph
its not in the option
Mohit said:
2 decades ago
Hey look it say train travels 50% faster then car. Suppose car travels at x speed than train travels at 50x. So its 150/100 thats as a % age.
Vidu said:
2 decades ago
Please some one let me know how 150/100 came.
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.
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.
Muthuraj said:
2 decades ago
125/10*60 here we are converting 12.5 min into hrs..12.5*10/10=125/10(min)--125/(10*60) hrs
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