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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. What is the speed of the car?

  • a)
    80 kmph

  • b)
    102 kmph

  • c)
    120 kmph

  • d)
    140 kmph

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A train can travel 50% faster than a car. Both start from point A at t...
Let the speed of the car be x km/h


So the speed of the train will be 1.5x km/h


According to the question


⇒ 75/x - 75/1.5x = 12.5/60


⇒ (112.5 - 75)/1.5x = 12.5/60


⇒ 37.5/1.5x = 12.5/60


⇒ 1.5x = 37.5 × (60/12.5)


⇒ x = 180/1.5


⇒ x = 120 km/h


∴ The speed of the car is 120 km/h
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Community Answer
A train can travel 50% faster than a car. Both start from point A at t...
Given:
Distance between point A and point B = 75 km
Train stops for 12.5 minutes on the way.

Let's assume the speed of the car to be x kmph
The speed of the train is 50% faster than the car's speed, which means the speed of the train is 1.5x kmph.

Formula used:
Speed = Distance/Time

Let's calculate the time taken by both the car and the train to cover the distance between point A and point B.

Time taken by Car:
Time = Distance/Speed
Time taken by the car = 75/x

Time taken by Train:
Time = Distance/Speed
Time taken by the train = 75/1.5x = 50/x

We know that the car and the train reached point B at the same time.
Therefore, Time taken by Car = Time taken by Train

75/x = 50/x + 12.5/60
Multiplying both sides by 60x, we get
4500 = 3000 + 12.5x
12.5x = 1500
x = 120 kmph

Therefore, the speed of the car is 120 kmph. Hence, option C is the correct answer.
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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. What is the speed of the car?a)80 kmphb)102 kmphc)120 kmphd)140 kmphCorrect answer is option 'C'. Can you explain this answer?
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