Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x =[tex]\frac{48}{0.5}[/tex] [ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =[tex]\frac{423}{3}[/tex]
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>[tex]\text{speed of kayaking up the river} \times time[/tex]
=>[tex]96 \times 10[/tex] ( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>[tex]\text{speed of kayaking down the river} \times time[/tex]
=>[tex]141 \times 5[/tex] ( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet
Answer: 225 ft farther you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river.
Given: You kayak up a river at a rate of 48 feet every 30 seconds.
So, 48*2 = 96 feet every 30*2 = 60 second = 1 minute.
So, in 1 minute you go up 96 feet.
In 5 minutes you go up = 96*5 = 480 ft.
Given: You kayak 423 feet every 3 minutes on the way back down the river.
So speed = distance/time = 423 / 3 = 141 ft/min while going down.
In 1 minute you go down = 141 ft
In 5 minutes you go down = 5(141) = 705 ft.
So I will go (705 - 480) = 225 ft further.
Learn more: https://brainly.com/question/20521181
