Questions: While in a foreign country, David rented a car whose speedometer is calibrated in both miles and kilometers per hour. The marking on the speedometer shows 80 kilometers = 50 miles. How many miles does he still have to drive? He still has to drive miles.

While in a foreign country, David rented a car whose speedometer is calibrated in both miles and kilometers per hour. The marking on the speedometer shows 80 kilometers = 50 miles. How many miles does he still have to drive?

He still has to drive miles.

Transcript text: While in a foreign country, David rented a car whose speedometer is calibrated in both miles and kilometers per hour. The marking on the speedometer shows 80 kilometers = 50 miles. How many miles does he still have to drive? He still has to drive _ _ miles.

Solution

Solution Steps

To find out how many miles David still has to drive, we need to convert kilometers to miles using the given conversion rate. We know that 80 kilometers is equivalent to 50 miles. We can use this ratio to convert any given distance in kilometers to miles.

Step 1: Establish the Conversion Rate

We know from the problem that \( 80 \) kilometers is equivalent to \( 50 \) miles. This gives us the conversion ratio: \[ \frac{50 \text{ miles}}{80 \text{ kilometers}} = \frac{5}{8} \text{ miles per kilometer} \]

Step 2: Calculate Miles Remaining

To find out how many miles David still has to drive, we can use the conversion ratio. If David still has to drive \( 160 \) kilometers, we can calculate the miles as follows: \[ \text{Miles remaining} = 160 \text{ kilometers} \times \frac{5}{8} \text{ miles per kilometer} \] Calculating this gives: \[ \text{Miles remaining} = 160 \times 0.625 = 100.0 \text{ miles} \]