Concept explainers
To calculate:The speed of the current in the given situation.
Answer to Problem 20P
The speed of the current is 1 mile/hour.
Explanation of Solution
Given Information: It is given that canoeists paddled upstream for 1 hour and then paddled downstream to the starting point and the log covers a distance of 2 miles at the same time.
Formula used: Distance = speed
Calculation:
Let the speed of canoeists in still water= x miles/hr.
Speed of the current = y miles/hr.
Upstream speed=( x − y )miles/hr.
Downstream speed = ( x + y ) miles/hr.
Distance covered by canoeist in 1 hour = ( x - y ) miles
And taken by log to reach the starting point is
Time =
Time =
Now time is taken to paddle downstream = (
Downstream distance covered =
Since from the given situation,it can be said that the difference between the downstream distance covered and upstream distance covered in 1 hour is 2 miles.
Therefore,
So, the speed of current = 1 mile/hr
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