Designate Janice's speed in miles per hour as j. The distance covered by each driver equals the speed multiplied by the total time driven. At the point of overtaking, the distances are equal. Therefore, from the problem statement:
90 mph X 20 minutes = 90 mph X 1/3 hour = 30 miles;
j(20 +10)/60 = 30 miles; 30 j = 60 X 60; or j = 60 X 30/30 = 60 mph.
Janice was driving 60 miles per hour.
Janice was driving at 60 miles per hour. The way you figure this is to first look at Tom's speed. He was doing 90 mph for 20 minutes, so when he caught Janice, he had gone 1/3rd of an hour, or 1/3rd of his speed, or 30 miles. Janice had been driving for 10 minutes before Tom left, so she had driven 30 minutes total, and had gone 30 miles. Janice was traveling at a mile a minute, or 60 miles an hour. Good luck with your homework.
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