Concept explainers
Boat Speed A boat on a river travels downstream between two points, 20 mi apart, in 1 h. The return trip against the current takes
To find: The speed of boat and speed of current in the river flow.
Answer to Problem 64E
The speed of boat is 14 miles per hour and the speed of current in the river flow is 6 miles per hour.
Explanation of Solution
Given:
The distance between two points is 20 miles.
Time taken to travels downstream is 1 hour.
Time taken to travels upstream is
Calculation:
Let the speed of boat be x and the speed of current in the river flow be y.
Formula to calculate the speed of boat against the current is,
Substitute 20 for distance and 2.5 for time in the above formula.
The speed of boat against the current is 8 miles per hour.
Formula to calculate the speed of boat with the current is,
Substitute 20 for distance and 1 for time in the above formula.
The speed of boat with the current is 20 miles per hour.
According to the above data, the speed of boat in still current is,
According to the above data, speed of the boat with the current is,
Use substitution method to find the values of x and y.
Simplify equation (1) for the value of x.
Substitute
Simplify the above equation.
The value of y is 6.
Back - substitute 6 for y in equation (1).
The value of x is 14.
Thus, the speed of boat is 14 miles per hour and the speed of current in the river flow is 6 miles per hour.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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