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?

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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!
To find the time Zachary takes to drive from City X to City Y: 1. **Determine the actual distance** using the scale: $$ \frac{1}{2} $$ inch = 18 miles. 2. **Calculate the time** using the formula: Time = Distance / Speed. 3. **Convert the time** into hours and minutes. **Example:** If the distance on the drawing is 3 inches: - Actual Distance = 3 inches × 36 miles/inch = 108 miles - Time = 108 miles / 30 mph = 3.6 hours = 3 hours and 36 minutes **Note:** Measure the distance on the scale drawing to get the exact time.

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