Multiple choice

The speeds of a train and a bus are in the ratio 3 : 2, respectively. If the bus travels a distance of 840 km in 14 hours, then in how much time will the same distance be travelled by the train?

  1. 7.66 hours

  2. 8.77 hours

  3. 9.33 hours

  4. 10.31 hours

  5. 11.67 hours
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C Correct answer
Explanation

Bus speed = 840/14 = 60 km/h. Train:Bus speed ratio = 3:2, so Train speed = 60 * (3/2) = 90 km/h. Time for train = 840/90 = 84/9 = 9.33 hours.

AI explanation

First, calculate the speed of the bus using the basic speed formula, which is distance divided by time. The speed of the bus is 840 km divided by 14 hours equal to 60 km/hr. Since the ratio of the speeds of the train and the bus is 3 to 2, the speed of the train is 60 multiplied by 3 divided by 2, resulting in 90 km/hr. Using the time formula, the train takes 840 divided by 90, which equals 9.33 hours.

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