Jin was driving at a rate of 50 miles per hour. If he accelerated by 10% of his original rate, how long would it take him to drive 11 miles at his new rate?
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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?
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Correct option is
A
44
9
4
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
40
200
=5 hours to travel the first 200 miles.
During the second 200 miles, the car traveled at 50 mph; therefore, it took
50
200
=4 hours to travel 5000 the second 200 miles. Thus, the average speed of Car X was
9
400
=44
9
4
mph. Note that the average speed is not
Some rate problems can be solved by using ratios.