Multiple choice

Given below are two quantities named I and II. Based on the given data, you have to determine the relation between them and mark the answer Quantity I- a car travels some distance with speed of 60 kmph and then covers thrice the distance with speed of 90kmph. What is the average speed Quantity II- the ratio of speeds of Ram and Shyam is 5:4. Shyam is ahead of Ram by 12kms. If they are travelling in same direction, what is the distance in km that Ram has to cover to catch up with Shyam.

  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 relation can not be established

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Average speed = (d + 3d)/(d/60 + 3d/90) = 4d/(d/60 + d/30) = 4d/(d/20) = 80 km/h. Quantity II: Ram needs to cover 12 km more than Shyam at relative speed of (5-4)=1 unit. Without knowing the actual speeds or distance units, the value is indeterminate. However, 80 km/h > any reasonable distance, so Quantity I > Quantity II.