Chapter 3, Problem 14PT

To determine

To calculate: The number of hours at which both the rafting companies charge the same amount.

Answer to Problem 14PT

The number of hours at which both the rafting companies charge the same amount is $5\text{ hours}$.

Explanation of Solution

Given information:

Seela paid $100 to rent a raft and $25 for each hour to River Rafter’s Inc.

Martin paid $50 to rent a raft and $35 for each hour to Oscar’s Outdoor Shop.

Calculation:

Consider the provided information that Seela paid $100 to rent a raft and $25 for each hour to River Rafter’s Inc.

Martin paid $50 to rent a raft and $35 for each hour to Oscar’s Outdoor Shop.

Let number of hours at which both the rafting companies charge the same amount is x .

Therefore, equate the amount paid by both at the end of x hours.

  $\begin{array}{c}100+25x=50+35x\\ 10x=50\\ x=5\end{array}$

Thus, the number of hours at which both the rafting companies charge the same amount is $5\text{ hours}$.