Question

Roberto rented a truck from the Super Truck Company for 9 hours. There was a rental fee of $50. Allison rented a truck from Trucking America for 4 hours. She paid a $110 rental fee. Both Roberto and Allison spent the same amount and both companies have the same hourly rental fee. Write and solve an equation to determine the hourly rental fee.

Answer 1

Hence, the hourly rental fee is
`\$\: 12`.

Explanation:

Time for which Roberto rented the truck
`=9` hours.

Rental fee
`=\$ \:50`

Time for which Allison rented the truck
`=4` hours.

Rental fee
`=\$ \:110`

Both companies have the same hourly rental fee.

Let the hourly rental fee of both the companies be
`x`.

Both spent the same amount.

So, according to the question,

`\Rightarrow 50+9x=110+4x`

`\Rightarrow 9x-4x=110-50`

`\Rightarrow 5x=60`

`\Rightarrow x=(60)/(5)`

`\Rightarrow x=12`

Hence, the hourly rental fee is
`\$\: 12`.