Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare them both and find the correct relationship between them. A train running at a speed of 72 km/h crosses the person running in the opposite direction in 30 seconds, the ratio of speed of the person to that of a train is 1 : 8. Quantity I: Length of the train Quantity II: 0.6 km

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed of train = 72 km/h = 20 m/s. Speed of person = 1/8 * 72 = 9 km/h = 2.5 m/s. Relative speed = 20 + 2.5 = 22.5 m/s. Length = 22.5 * 30 = 675 meters = 0.675 km. 0.675 > 0.6.

AI explanation

Using the given speed ratio of 1:8 for the person to the train, the person's speed is 72 divided by 8, which is 9 km/h. Their relative speed in opposite directions is the sum of their speeds: 72 plus 9, resulting in 81 km/h. Converting this to meters per second requires multiplying by 5/18, giving a relative speed of 22.5 m/s. The length of the train, which is the distance covered in 30 seconds, is 22.5 multiplied by 30, resulting in 675 meters. Comparing this to 0.6 kilometers, which is 600 meters, shows that Quantity I is greater than Quantity II.

Keep practicing — related questions