Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. Quantity I: A boat can cover 9.6 km upstream in 24 minutes. If the ratio of speed of the current to speed of boat in still water is 1: 4, then how much distance (in km) can the boat cover downstream in 36 minutes? Quantity II: 24

  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
E Correct answer
Explanation

Let boat speed = 4x, current speed = x (ratio 1:4 for current:boat). Upstream speed = 4x - x = 3x. Distance = 9.6 km in 24 min, so 3x = 9.6/(24/60) = 24 km/hr, x = 8 km/hr. Boat speed = 32 km/hr. Downstream speed = 32 + 8 = 40 km/hr. In 36 min (0.6 hr), distance = 40 × 0.6 = 24 km. Quantity I = 24, Quantity II = 24. They are equal, so option E is correct.

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