# SOLUTION: Tracy leaves for work at 8:a.m traveling at 36 mph. Sarah finds that Tracy has forgotten her briefcase, so she leaves 8:05 chasing after her at 50 mph. At what time will Sarah catc

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Tracy leaves for work at 8:a.m traveling at 36 mph. Sarah finds that Tracy has forgotten her briefcase, so she leaves 8:05 chasing after her at 50 mph. At what time will Sarah catc      Log On

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 Question 136068This question is from textbook algebra structure and method : Tracy leaves for work at 8:a.m traveling at 36 mph. Sarah finds that Tracy has forgotten her briefcase, so she leaves 8:05 chasing after her at 50 mph. At what time will Sarah catch tracy?This question is from textbook algebra structure and method Answer by ankor@dixie-net.com(15654)   (Show Source): You can put this solution on YOUR website!Tracy leaves for work at 8:a.m traveling at 36 mph. Sarah finds that Tracy has forgotten her briefcase, so she leaves 8:05 chasing after her at 50 mph. At what time will Sarah catch tracy? : Change 5 min to hrs: 5/60 = hrs Let t = travel time (in hrs), for T to catch up with S : When T catches up with S, there will have traveled the same distance Write a distance equation from this fact: Dist = speed * time : T's dist = S's distance 50t = 36(t+) 50t = 36t + 50t - 36t = 3 14t = 3 t = change to minutes and fractional minutes to seconds 60 * = 12.857 min = 12 min 51 sec : 8:05 + 12 min 51 sec = 08:17:51 AM, when T catches up with S : : Check solution on calc by finding the distances 36() = 36 * .297 = 10.7 mi : 50 * = 10.7 mi