On a 400-mile trip, Car X traveled half the distance at 40 miles per hour (mph) and the other half at 50 mph. What was the average speed of Car X?

44 \frac{4}{9}

mph

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48

mph

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45

mph

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46

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Solution

The correct option is A $44 \frac{4}{9}$ mph
First it is necessary to determine the amount of traveling time. During the first 200 miles, the car traveled at 40 mph; therefore, it took $\frac{200}{40} = 5$ hours to travel the first 200 miles.
During the second 200 miles, the car traveled at 50 mph; therefore, it took $\frac{200}{50} = 4$ hours to travel 5000 the second 200 miles. Thus, the average speed of Car X was $\frac{400}{9} = 44 \frac{4}{9} m p h$ . Note that the average speed is not
Some rate problems can be solved by using ratios.

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