Question

Reese drove the entire first day of a trip then her brother drove 30 miles per day after that. After 5 days they traveled a total of 480 miles. Write an equation to represent the total distance traveled. If this continues, how many miles will they have traveled after 15 days?

Answer 1

Let's begin by listing out the information given to us:

Reese drove the entire first day = x

Her brother drove 30 miles per day = 30 /day

After 5 days: distance = 480 miles

The equation becomes:

$x+30t=480$

t = 5 days, we have:

$\begin{gathered} x+30(5)=480 \\ x+150=480 \\ x=480-150=330 \\ x=330miles \end{gathered}$

x = 330 miles

After 15 days, the total mile travelled is:

$\begin{gathered} d=x+30t \\ x=330miles,t=15days \\ d=330+30(15)=330+450 \\ d=780miles \end{gathered}$

distance travelled = 780 miles