Multiple choice

The ratio of the speed of a train to that of a car is 16 : 15. Also, a bus covers a distance of 480 km in 8 hours. The speed of the bus is three-fourths the speed of the train. How much distance will the car cover in 6 hours?

  1. 450 km

  2. 480 km

  3. 360 km

  4. Cannot be determined
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A Correct answer
Explanation

Bus speed = 480/8 = 60 km/hr. Train speed = (4/3) * 60 = 80 km/hr. Car speed = (15/16) * 80 = 75 km/hr. Distance covered by car in 6 hours = 75 * 6 = 450 km.

AI explanation

First, find the speed of the bus using the formula speed equals distance divided by time, which gives 480 km divided by 8 hours, equaling 60 kmph. Since the bus speed is three-fourths the speed of the train, the train's speed is 80 kmph. Using the given ratio of train speed to car speed of 16 to 15, the car's speed is 15/16 multiplied by 80, resulting in 75 kmph. Finally, calculate the distance the car covers in 6 hours using the distance formula, which gives 75 multiplied by 6, equaling 450 km.

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