A boat on a river travels between two points, 20 mi apart, in 1 h. The return trip aganist the current takes 2.5 hours. What is the boats speed (in still water)? How fast does the current in the river flow?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 5ECP: A boat travels at a constant speed to an island 14 miles away. It takes 0.5 hour to travel the first...
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A boat on a river travels between two points, 20 mi apart, in 1 h. The return trip aganist the current takes 2.5 hours. What is the boats speed (in still water)?

How fast does the current in the river flow?

Expert Solution
Step 1

Given:

Calculus homework question answer, step 1, image 1

Let speed of boat in still water = v

Let speed of current = w

Step 2

Case 1: boat travelling with the current

Calculus homework question answer, step 2, image 1

Hence we get:

Calculus homework question answer, step 2, image 2

 

Step 3

Case 2: boat travelling against the current

Calculus homework question answer, step 3, image 1

Hence we get:

Calculus homework question answer, step 3, image 2

 

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