Question

1. you are driving to visit a friend in another state who lives 440 miles away. you drive 55 miles per hour and have already driven 275 miles. write and solve an equation to find how much longer in hours you must drive to reach your destination. ____ + __h = ____

Explanation:

Step1: Define variables and equation structure

Let \( h \) be the number of hours left to drive. The distance already driven is 275 miles, the rate is 55 miles per hour, so the distance to be driven in \( h \) hours is \( 55h \) miles, and the total distance is 440 miles. So the equation is \( 275 + 55h = 440 \).

Step2: Solve for \( h \)

Subtract 275 from both sides: \( 55h = 440 - 275 \)
Calculate the right side: \( 55h = 165 \)
Divide both sides by 55: \( h = \frac{165}{55} = 3 \)

Answer:

The equation is \( 275 + 55h = 440 \), and the number of hours left to drive is 3.