Multiple choice

A boat moves downstream at the rate of $1 km$ in $6 min$ and upstream at the rate of $1$ km in $10$ min The speed of the current ( km/hr) is

  1. $1$
  2. $1.5$
  3. $2$
  4. $2.5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Downstream speed = 1 km / (6/60) hr = 10 km/hr. Upstream speed = 1 km / (10/60) hr = 6 km/hr. Current speed = (Downstream - Upstream) / 2 = (10 - 6) / 2 = 2 km/hr.

AI explanation

The downstream speed is 1 km in 6 minutes, which converts to 60 divided by 6, giving 10 km/hr. The upstream speed is 1 km in 10 minutes, converting to 60 divided by 10, giving 6 km/hr. Using the formula for stream speed, where stream speed equals half the difference of downstream and upstream speeds, we calculate (10 - 6) divided by 2, resulting in 2 km/hr.