Multiple choice

A motor boat travels a distance of 7.5km in a river in 3hrs down stream & 5hrs upstream the velocity of boat in kmph is

  1. $2.0$
  2. $0.5$
  3. $2.5$
  4. $1.5$
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A Correct answer
Explanation

Downstream speed = 7.5/3 = 2.5 kmph. Upstream speed = 7.5/5 = 1.5 kmph. Boat speed = (Downstream + Upstream) / 2 = (2.5 + 1.5) / 2 = 2.0 kmph.

AI explanation

Using the basic speed formula, the downstream speed is 7.5 divided by 3, yielding 2.5 kmph, and the upstream speed is 7.5 divided by 5, yielding 1.5 kmph. The velocity of the boat in still water is the average of the downstream and upstream speeds, calculated as (2.5 + 1.5) divided by 2. This evaluates to 4 divided by 2, resulting in a boat velocity of 2.0 kmph.