Multiple choice

A train travels $40$% faster than a car. Both start from point A at the same time and reach point B, $140km$ away at the same time. On the way the train takes $25$ minutes for stopping at the stations. What is the speed (in km/hr) of the train?

  1. $67$
  2. $134.4$
  3. $145.9$
  4. $160$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let car speed be v. Train speed is 1.4v. Time for car = 140/v. Time for train = 140/(1.4v) + 25/60. Since times are equal: 140/v = 100/v + 5/12. 40/v = 5/12, so v = 96 km/hr. Train speed = 1.4 * 96 = 134.4 km/hr.

AI explanation

Let the speed of the car be x km/hr, making the train's speed 1.4x km/hr. The train stops for 25 minutes, which is 5/12 hours, so the car's travel time of 140/x hours equals the train's total time of 140/(1.4x) + 5/12. Multiplying by 12x gives 1680 = 1200 + 5x, which yields 5x = 480 and x = 96. Therefore, the speed of the train is 1.4 * 96 = 134.4 km/hr.

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