You head downstream on a river in a canoe. You can paddle at 5.2 km/h and the river is flowing at 2.2 km/h. How far downstream will you be in 30 minutes?
distance= velocityoverground*time
distance=(velocityrelativewater+waterspeed)*time
= (5.2+2.2)*1/2 km
To calculate how far downstream you will be in 30 minutes, we need to take into account your paddling speed and the speed of the river.
First, let's convert the time from minutes to hours. Since 1 hour is equal to 60 minutes, 30 minutes is equal to 30/60 = 0.5 hours.
Now, let's calculate your net speed, taking into account both your paddling speed and the speed of the river. Since you're heading downstream, your net speed will be the sum of your paddling speed and the speed of the river.
Net speed = Paddling speed + Speed of the river
Net speed = 5.2 km/h + 2.2 km/h
Net speed = 7.4 km/h
Now that we know your net speed, we can calculate how far you will travel downstream in 0.5 hours. Distance = Speed × Time
Distance downstream = Net speed × Time
Distance downstream = 7.4 km/h × 0.5 hours
Distance downstream = 3.7 km
Therefore, you will be approximately 3.7 kilometers downstream in 30 minutes.