A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kilometres 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
100 kmph
110 kmph
130 kmph
120 kmph
The correct option is D 120 km/h
Step 1, Given data
Speed of the train is 50% more than the speed of the car
Distance = 75 km
Time lost by the train = 12.5 min = 12.560h
Step 2, Finding the speed
Let the speed of the car be x kmph.
Then, speed of the train =150 x100=3x2 km/h
According to the question
∴752−75(32)x=12510×60
⇒75x−50x=524
After solving
⇒x=[25×2450] = 120 km/h
Hence the speed of the car is 120 km/h