Question

At 10 A.M., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of $4 \mathrm{mph}$. The total trip took $1 \mathrm{h}$. At what time did the campers turn around downstream?

Name: Problem 51, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-07-25T23:12:47-08:00
Duration: 2 min 8 s
Channel: Adnan Gill
Description: At 10 A.M., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of 4 mph. The total trip took 1 h. At what time did the campers turn around downstream?

   At 10 A.M., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of $4 \mathrm{mph}$. The total trip took $1 \mathrm{h}$. At what time did the campers turn around downstream?

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 51

Instant Answer

Solved by Expert Adnan Gill

07/25/2020

Step 1

Two campers are paddling downstream at a speed of 12 mph and then they turn around and paddle back upstream at a speed of 4 mph. The total trip took 1 hour. We need to find out when they turned around downstream. Show more…

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At 10 A.M., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of $4 \mathrm{mph}$. The total trip took $1 \mathrm{h}$. At what time did the campers turn around downstream?

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Key Concepts

Distance-Speed-Time Relationship

This concept involves the fundamental relation among distance, speed, and time, typically expressed as distance = speed × time. It is used to calculate the distance traveled when the speed and travel time are known, and conversely to determine the time taken if the distance and speed are provided.

Segmented Journey Analysis

When a trip consists of multiple segments where different speeds or conditions apply, each segment is analyzed separately using the distance-speed-time relationship. In problems like this, the distances for each segment are related (often being equal or having a known ratio), which allows us to set up equations and solve for unknown quantities such as travel times or turnaround points.

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