Multiple choice

The speed of the boat in still water is 24 kmph and the speed of the stream is 4km/h. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C, what is the distance between A and B ?

  1. 50

  2. 58

  3. 52

  4. 56

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Downstream speed is 24+4=28 kmph, upstream speed is 24-4=20 kmph. Let distance BC = x, then AB = x+4. Time difference: (x+4)/28 - x/20 = 36/60 hours. Solving gives x=52 km, so AB = x+4 = 56 km. This tests downstream/upstream speed concepts.

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