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.

Question

700h − 375 = 65; h = 0.63
65h + 375 = 700; h = 5
65h + 375h = 700; h = 1.6
65h − 375h = 700; h = 16.5

Answer 1

To find how much longer you must drive to reach your destination, we can set up the following equation:

1. Determine the remaining distance: Since you have already driven 375 miles from a total distance of 700 miles, the remaining distance is: \[ 700 - 375 = 325 \text{ miles} \]

2. Relate the remaining distance to time: If you are driving at a speed of 65 miles per hour, the time \( h \) it will take to cover the remaining distance can be expressed using the formula: \[ \text{distance} = \text{speed} \times \text{time} \] Therefore, we can write: \[ 325 = 65h \]

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

So, you will need to drive for an additional 5 hours to reach your destination.

The correct option among the choices provided is: \[ \text{65h + 375 = 700; } h = 5 \]