Question

A kayak moves at a rate of 12 mph in still water. If the river's current flows at a rate of 4 mph, how long does it take the boat to travel 36 mi upstream?

   A kayak moves at a rate of 12 mph in still water. If the river's current flows at a rate of 4 mph, how long does it take the boat to travel 36 mi upstream?

Precalculus: Graphs and Models, A Right Triangle Approach

Precalculus: Graphs and Models, A Right Triangle Approach

Marvin L. Bittinger,… 6th Edition

Chapter 1, Problem 63

Instant Answer

Solved by Expert Vipender Yadav

07/24/2021

Step 1

The kayak moves at a speed of 12 mph in still water, but the river current is flowing at a rate of 4 mph in the opposite direction. Therefore, the relative velocity of the kayak is the difference between these two speeds, which is \(12 - 4 = 8\) mph. Show more…

Show all steps

lock

Thanks for your feedback!

A kayak moves at a rate of 12 mph in still water. If the river's current flows at a rate of 4 mph, how long does it take the boat to travel 36 mi upstream?

Play audio

Feedback

Powered by NumerAI

Vipender Yadav and 84 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Relative Motion in Fluids

This concept involves understanding how an object's speed in still water or air is affected by the movement of the medium, such as a river current or wind. It highlights that the effective speed of the object with respect to the ground is a combination of its own speed and the speed of the current.

Effective Speed Calculation

Effective speed is determined by adding or subtracting the speed of the current from the object's still water speed, depending on the direction of travel. When moving upstream against the current, the effective speed is the difference between the object's speed and the current's speed.

Distance-Rate-Time Relationship

This foundational concept in physics and mathematics is expressed by the equation: distance = rate × time. It is used to calculate one of these variables when the other two are known, such as determining the time required to cover a given distance at a known effective speed.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later