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4.

You are driving to visit a friend in another state who lives 440 miles away. You are driving 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.

1 answer

To find out how much longer you need to drive to reach your destination, you can set up the situation with the following steps:

  1. Determine the remaining distance to travel: You have already driven 275 miles out of the total 440 miles. \[ \text{Remaining distance} = \text{Total distance} - \text{Distance already driven} = 440 \text{ miles} - 275 \text{ miles} = 165 \text{ miles} \]

  2. Set up the equation: You are driving at a speed of 55 miles per hour. Let \( t \) be the time in hours that you still need to drive. The relationship between distance, rate, and time is given by the equation: \[ \text{Distance} = \text{Rate} \times \text{Time} \] Plugging in your values, the equation for the remaining distance is: \[ 165 = 55t \]

  3. Solve for \( t \): To find \( t \), divide both sides of the equation by 55: \[ t = \frac{165}{55} = 3 \]

Therefore, you must drive for 3 more hours to reach your destination.