You are driving to visit a friend in another state who lives 700 miles away. You are driving 65 miles per hour and have already driven 375 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.

Answer 1

To find out how much longer you must drive to reach your destination, we first need to determine the remaining distance to your friend's house.

1. Calculate the remaining distance: \[ \text{Total distance to friend's house} - \text{Distance already driven} = \text{Remaining distance} \] \[ 700 \text{ miles} - 375 \text{ miles} = 325 \text{ miles} \]

2. Set up the equation to find time: To find out how long it will take to drive the remaining distance at a speed of 65 miles per hour, we can use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] We will substitute the remaining distance and speed into the equation: \[ t = \frac{325 \text{ miles}}{65 \text{ miles per hour}} \]

3. Solve for \( t \): \[ t = \frac{325}{65} = 5 \]

So, you need to drive for 5 more hours to reach your destination.