A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 km 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
A
120 kmph
B
130 kmph
C
110 kmph
D
100 kmph
Correct Option:
A
Explanation
Let the car's speed be v. The train travels at 1.5v. For 75 km, the car's time is 75/v and the train's running time is 75/(1.5v) = 50/v. The train stops for 12.5 minutes = 5/24 hour. Since both arrive together, 75/v = 50/v + 5/24, so 25/v = 5/24 and v = 120 kmph.
