Question

james is driving to visit his cousin, who lives 600 miles away. james is driving at a speed of 60 miles per hour and has already driven 250 miles. write an equation to determine how many more hours james needs to drive to reach his cousins house, and then solve it. 60h + 250 = 600; h=5.83 60h - 250 = 600; h=17.5 60h + 250h = 600; h=3.6 60h - 250 = 600; h=6

Explanation:

Step1: Define the variable

Let \( h \) be the number of hours James still needs to drive.

Step2: Set up the equation

The distance James has already driven (250 miles) plus the distance he will drive in \( h \) hours (which is \( 60h \) since speed is 60 mph) should equal the total distance (600 miles). So the equation is \( 60h + 250 = 600 \).

Step3: Solve the equation

Subtract 250 from both sides: \( 60h = 600 - 250 = 350 \). Then divide both sides by 60: \( h=\frac{350}{60}\approx5.83 \).

Answer:

\( 60h + 250 = 600; h\approx5.83 \) (the first option)