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The Delta Course GMAT Practice Questions Daily Quantitative E-mail
SOLUTION Selma and Miriam are racing their sailboats from Miami, Florida to Georgetown, Grand Cayman. The loser must buy the first round of drinks at their favorite beach bar. At 1 P.M., Selma passes a cruise ship that is anchored 160 miles away from Georgetown. Selma is traveling at 20 miles per hour. At 2 P.M., Miriam passes the anchored cruise ship. Miriam is traveling at 24 miles per hour. If they continue traveling at the same rates, when will Miriam overtake Selma? A. 7 P.M. B. 6 P.M. C. 5:45 P.M. D. 8 P.M. E. 6:30 P.M. The formula for distance traveled is distance = rate * time. In N hours from 1 P.M., Selma will have traveled 20N miles away from the cruise ship. In N hours from 1 P.M., Miriam will have traveled 24N - 24 miles away from the cruise ship. We are subtracting 24 miles because Miriam didn't actually pass the cruise ship until 2 P.M. When Miriam overtakes Selma, they both will have traveled the same distance from the cruise ship. Thus, we can set up the following equation: 20N = 24N - 24 4N = 24 N = 6 Miriam will overtake Selma in 6 hours from 1 P.M. The answer to today's Delta Course e-mail is A. Graduate Management Admissions Test and GMAT are registered trademarks of the Graduate Management Admission Council. This e-mail has no affiliation with nor is endorsed by the Graduate Management Admission Council. Copyright 2003 by The Delta Course, All Rights Reserved. |