Multiple choice

Find the correct relationship between given quantities- Quantity I-A boat covers a certain distance downstream in 5 hours but takes 7 hours to return upstream to the starting point. If the speed of the stream be 4 km/hr. Find the distance that boat covers in upstream or downstream. Quantity II-A man can row 15 kmph in still water and the river is running at 5 kmph. If the man takes 24 hour to row to a place and back, how far is the place?

  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 relationship cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Boat takes 5 hrs downstream and 7 hrs upstream with stream speed 4 kmph. Let boat speed in still water be b. Distance = (b+4)×5 = (b-4)×7. Solving: 5b+20 = 7b-28, so 2b=48, b=24. Distance = (24+4)×5 = 140 km. Quantity II: Boat speed 15 kmph, river 5 kmph. Effective speeds: 20 kmph downstream, 10 kmph upstream. Let distance be d: d/20 + d/10 = 24, so d/20 + 2d/20 = 24, 3d = 480, d=160 km. Since 140 < 160, answer is C.

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