Question

Taylor and Morgan would like to spend some time on the river while camping with their family. Taylor wants to rent a two-person kayak. There is a $5 setup fee for kayak rentals and then kayaks are rented at $8 per hour. The setup fee for canoes is $9 and they are rented at $6 per hour. Determine the number of hours it takes for canoe rentals and kayak rentals to cost the same amount.

Answer 1

After 2 hrs canoe rentals and kayak rentals cost would be same.

Explanation:

Let the number of hours be 'x'.

Given:

Set up fee for Kayak rental = $5

Hourly rate for Kayaks rental = $8

Solution:

First we will find the total cost of Kayak rentals.

total cost of Kayak rentals can be calculated by sum of Set up fee for Kayak rental and Hourly rate for Kayaks rental multiplied by number of hours.

framing in equation form we get;

total cost of Kayak rentals =
`5+8x`

Now Given:

Set up fee for Canoe rental = $9

Hourly rate for Canoe rental = $6

Now we will find the total cost of Canoe rentals.

total cost of Canoe rentals can be calculated by sum of Set up fee for Canoe rental and Hourly rate for Canoe rental multiplied by number of hours.

framing in equation form we get;

total cost of Canoe rentals =
`9+6x`

Now to find the number of hours when both rentals would cost same we will make both the equation equal we get;

`5+8x=9+6x`

Combining like terms we get;

`8x-6x=9-5\\\\2x=4`

Now Dividing both side by 2 we get;

`(2x)/(2)=\frac{4}2\\\\x=2\ hrs`

Hence After 2 hrs canoe rentals and kayak rentals cost would be same.