Multiple choice

Directions: In the question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine relationship between the two quantities and choose the appropriate option. Quantity 1: The distance covered by a bus in 7 hours, if a car covered a distance of 1,500 km in 18.75 hours and the average speed of the bus is 17/16 of the average speed of the car. Quantity 2: The distance covered by a bike in 9.9 hours, if a person covered a distance of 16 km in 4 hours and the average speed of the bike is 1,500% of the average speed of the person.

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or relation cannot be established
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A Correct answer
Explanation

Quantity 1: Car speed = 1500 / 18.75 = 80 km/h. Bus speed = (17/16) * 80 = 85 km/h. Distance = 85 * 7 = 595 km. Quantity 2: Person speed = 16 / 4 = 4 km/h. Bike speed = 1500% of 4 = 60 km/h. Distance = 60 * 9.9 = 594 km. Since 595 > 594, Quantity 1 > Quantity 2.

AI explanation

Quantity 1 is found by first calculating the car's speed as 1500 divided by 18.75 equals 80 km/hr. The bus speed is 17/16 of the car's speed, which is 85 km/hr, so the distance covered by the bus in 7 hours is 85 multiplied by 7 equals 595 km. Quantity 2 requires the person's speed of 16 divided by 4 equals 4 km/hr, making the bike's speed 1500 percent of 4, which is 60 km/hr. The bike's distance in 9.9 hours is 60 multiplied by 9.9 equals 594 km. Therefore, Quantity 1 is greater than Quantity 2.

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