Multiple choice

A steamer moves with velocity 3 km/h in and against the direction of river water whose velocity is 2 km/h. Calculate the total time for the total journey if the boat travels 2 km in the direction of a stream and then back to its place:

  1. 2 hrs

  2. 2.5 hrs

  3. 2.4 hrs

  4. 3 hrs.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Downstream speed = 3 + 2 = 5 km/h. Upstream speed = 3 - 2 = 1 km/h. Time downstream = 2 / 5 = 0.4 hours. Time upstream = 2 / 1 = 2 hours. Total time = 0.4 + 2 = 2.4 hours.

AI explanation

The steamer's downstream speed is its speed relative to the water plus the stream velocity, which is $3 + 2 = 5$ km/h, and its upstream speed is $3 - 2 = 1$ km/h. The time taken to travel the $2$ km downstream is $2 / 5 = 0.4$ hours. The time taken to travel the $2$ km back upstream is $2 / 1 = 2$ hours. The total time for the journey is $0.4 + 2 = 2.4$ hrs.