Concept explainers
To find: the tugboat’s speed in still water and the speed of water current.
Answer to Problem 18PPE
Tugboat’s speed in still water = 10 mi/h
Speed of the water current = 2 mi/h
Explanation of Solution
Given information:
A tugboat can pull a boat 24 mi downstream in 2 h. Going upstream, the tugboat can pull the same boat 16 mi in 2 h.
The tugboat’s speed going downstream is
The tugboat’s speed going upstream is
Now, let the tugboat’s speed in still water be
And let the speed of water current be
Then
Adding equation (1) and (2) we get,
Putting
Thus, tugboat’s speed in still water = 10 mi/h
Speed of the water current = 2 mi/h
The tugboat’s speed going downstream is 12 mi/h which is 2mi/h greater than the tugboat’s speed in still water and it is 6 times the speed of water current.
The tugboat’s speed going upstream is 8 mi/h which is 2mi/h less than the tugboat’s speed in still water and it is 4 times the speed of water current.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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