Aptitude - Time and Distance - Discussion

I didn't understand this, anyone please explain to me?

(The train can travel 50% faster than a car).

This means the train is travelling 1/2 time faster than the car, not 3/2 time faster.

Final Answer: Speed of the car = 100 kmph.

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.

I am not understanding this question. Please explain to me.

Formula:
Time = distance/speed.
Speed = distance/time.

Let speed of train = x.
Then speed of the car = x + (x(50)/100),
= x + x/2,
= 3x/2,
The time taken by the train = 75/x.
The time taken by the car = 75/(3x/2).

Difference between them = 12.5 minutes,
75/x - 75/(3x/2) = 125/10 minutes,
75/x - 75/(3x/2) = 125/(10*60) hr,
(225-150)/3x=125/600,
75/3x = 125/600,
25/x = 125/600,
x = (25*600)/125,
x = 120kmph.

The speed of car be x km/h.
Then speed of the train will be = 3x/2km/h,
and the time taken to cover up 75 km is equal, but the train lost about 12.5 minutes while stopping at the stations.
So 75/x - 50/x = 5/24,
x= 120km/h.

The speed of the train: speed of the car = 150 : 100 = 3 : 2.
From the formula ; ratio of the speed = a:b,
if the same distance then, ratio of the time = b : a
Time ratio = 2:3
1u = 12.5 min
2u = 25 min
3u = 37.5 min.

The time taken by the car in hr = 37.5/60 = 375/600,
= 5/8 hr.
SPEED OF THE CAR IS = 75 divided by 5/8.
= 15 * 8.
= 120 km /hr.

If the car speed is 100kmph then the train speed is 150 kmph.
Because train 50% extra speed than a car.

Train in station stopping time is 12.5min.
But a car and train cover the same distance.
In case the train running non-stoping train cover more distance.
car: train 100%:150%.
car : train 100% ====(100% + 12.5min)

That 50% is 12.5min.
100% = 2 * 12.5min.
100% = 25min..
37.5min =75kmph
1min = 75/37.5
1min = 2 kmph
1hour = 60min = 2 * 60 = 120kmph.

Thanks for explaining the answer @VIJETH BK.

Train : car = 150:100 or 3:2.
Difference = 12.5 so 1 part is 12.5.
Speed and time is vice versa.
Time = train : car is 25 min : 37.5 min.
37.5 min = 75 kmph.
60 min = 120 kmph.