Zachary is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of \( 1 / 2 \) inch \( =18 \) miles. If Zachary drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive fromICity X to City Y?

To determine how much time Zachary will take to drive from City X to City Y, we'll follow these steps: 1. **Determine the Distance on the Scale Drawing:** - **Scale Provided:** \( \frac{1}{2} \) inch represents 18 miles. - **Actual Distance Calculation:** \[ \text{Actual Distance} = \left( \frac{18 \text{ miles}}{0.5 \text{ inch}} \right) \times \text{Distance on Drawing (in inches)} \] Simplifying the scale: \[ 1 \text{ inch} = 36 \text{ miles} \] So, \[ \text{Actual Distance} = 36 \times \text{Distance on Drawing (in inches)} \text{ miles} \] 2. **Calculate the Time to Travel the Distance:** - **Average Speed:** 30 miles per hour. - **Time Formula:** \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Substituting the actual distance: \[ \text{Time} = \frac{36 \times \text{Distance on Drawing (in inches)}}{30} = 1.2 \times \text{Distance on Drawing (in inches)} \text{ hours} \] Converting 0.2 hours to minutes (since \( 0.2 \times 60 = 12 \) minutes): \[ \text{Time} = \text{Distance on Drawing (in inches)} \text{ hours and } 12 \text{ minutes} \] 3. **Final Calculation:** To provide a numerical answer, we need the distance between City X and City Y on the scale drawing (measured in inches). **Since the drawing isn't provided here,** please measure the distance between the two cities on the scale drawing and plug that value into the calculations above. **Example:** - If the distance on the drawing is **3 inches**: \[ \text{Actual Distance} = 36 \times 3 = 108 \text{ miles} \] \[ \text{Time} = \frac{108}{30} = 3.6 \text{ hours} = 3 \text{ hours and } 36 \text{ minutes} \] Please provide the measurement from the scale drawing if you need a specific numerical answer!