Multiple choice

Passage

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship among them.

Quantity I: A train can cover distance X km in t hours with the speed of S km/hr. If the train increased the speed by 3km/hr, it will cover the distance in 3 hour less than the actual time. If the train decreased the speed by 2km/hr, it will cover the distance in 1.5 hours more than the actual time. Find the actual speed of the train. Quantity II: A train can cover distance X km in t hours with the speed of S km/hr. If the train increased the speed by 2 km/hr, it will cover the distance in 2 hour less than the actual time. If the train decreased the speed by 3km/hr, it will cover the distance in 5 hours more than the actual time. Find the actual speed of the train.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: (X/t) = S, (X/(t-3)) = S+3, (X/(t+1.5)) = S-2. Solving: From first two: S+3 = (St)/(t-3). From first and third: S-2 = (St)/(t+1.5). Solving gives S = 15 km/h. Quantity II: Similar equations with speed changes +2 and -3, time changes -2 and +5. Solving gives S ≈ 13.8 km/h. Since 15 > 13.8, Quantity I > Quantity II, so answer is A.

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