Question

You kayak up a river at a rate of 48 feet every 30 seconds. You kayak 423 feet every 3 minutes on the way back down the river. 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?

Answer 1

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 =$\frac{48}{0.5}$     [ Converting 30 seconds to 0.5 minutes]

x =  96 feet per minute

Similarly

y =$\frac{423}{3}$

y = 141 feet per minute

Now the distance kayaked  up the river in 5 minutes

=>$\text{speed of kayaking up the river} \times time$

=>$96 \times 10$ ( in 5 minutes there are 10  30 minutes)

=>960 feet

Now the distance kayaked down the river in 5 minutes

=>$\text{speed of kayaking down the river} \times time$

=>$141 \times 5$ ( in 5 minutes there are 10  30 minutes)

=>705 feet

Thus

960-705 =  255 feet