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Angelina's Driving

Source: AMC 10 2010A Problem 13

February 10, 2010
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Problem Statement

Angelina drove at an average rate of 80 80 kph and then stopped 20 20 minutes for gas. After the stop, she drove at an average rate of 100 100 kph. Altogether she drove 250 250 km in a total trip time of 3 3 hours including the stop. Which equation could be used to solve for the time t t in hours that she drove before her stop? (A)\ 80t\plus{}100(8/3\minus{}t)\equal{}250 \qquad (B)\ 80t\equal{}250 \qquad (C)\ 100t\equal{}250 \\ (D)\ 90t\equal{}250 \qquad (E)\ 80(8/3\minus{}t)\plus{}100t\equal{}250