Subjects algebra

Map Distance

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Map Distance


1. **State the problem:** Given that 1 inch on the map represents 20 miles in reality, and the distance between two towns on the map is 6 1/5 inches, find the actual distance between the two towns in miles. 2. **Convert the mixed number to an improper fraction:** $6 \frac{1}{5} = \frac{6 \times 5 + 1}{5} = \frac{30 + 1}{5} = \frac{31}{5}$ inches. 3. **Calculate the actual distance:** Since 1 inch = 20 miles, multiply the map distance by 20: $$\text{Distance} = \frac{31}{5} \times 20 = 31 \times \frac{20}{5} = 31 \times 4 = 124 \text{ miles}.$$ 4. **Conclusion:** The actual distance between the two towns is **124 miles**.