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?
add river's speed to rowing speed = 7.4 km/h
so, how far in 1/2 hour?
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To determine how far downstream you will be in 30 minutes, we'll need to consider the combined effect of your paddling speed and the river's flow.
First, let's convert the given values into a consistent unit. Both speeds are given in kilometers per hour, so there is no need for unit conversion.
Since you are heading downstream, the current of the river will assist your progress. Thus, your effective speed will be the sum of your paddling speed and the river's flow. Therefore, you will be traveling at a speed of 5.2 km/h + 2.2 km/h = 7.4 km/h.
Next, we'll calculate the distance using the formula:
Distance = Speed × Time
Given that the time is 30 minutes (or 0.5 hours) and the effective speed is 7.4 km/h, we can plug these values into the formula:
Distance = 7.4 km/h × 0.5 hours
Calculating this equation, we find:
Distance = 3.7 kilometers
Therefore, you will be approximately 3.7 kilometers downstream after 30 minutes.