A distance of 68 km is represented on a map by 1.7 cm . What distance is represented by 8.5 cm on the same map ?

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Understand the given information
We know that:
- A distance of 68 km is represented by 1.7 cm on the map.

### Step 2: Find the distance represented by 1 cm
To find out how many kilometers are represented by 1 cm, we can set up the following equation:
\[ \text{Distance represented by 1 cm} = \frac{68 \text{ km}}{1.7 \text{ cm}} \]

### Step 3: Calculate the distance represented by 1 cm
Now, we perform the division:
\[ \frac{68}{1.7} = 40 \text{ km} \]
So, 1 cm on the map represents 40 km.

### Step 4: Find the distance represented by 8.5 cm
Now that we know how much distance is represented by 1 cm, we can find out how much distance is represented by 8.5 cm:
\[ \text{Distance represented by 8.5 cm} = 8.5 \text{ cm} \times 40 \text{ km/cm} \]

### Step 5: Calculate the distance represented by 8.5 cm
Now, we perform the multiplication:
\[ 8.5 \times 40 = 340 \text{ km} \]

### Final Answer
The distance represented by 8.5 cm on the map is **340 km**.

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