SOLUTION: Solve the following word problem. Be sure to show the equation you use for the solution and your work. Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve the following word problem. Be sure to show the equation you use for the solution and your work. Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate o      Log On


   

Question 71569: Solve the following word problem. Be sure to show the equation you use for the solution and your work.
Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula d=rt.
John will catch Martina when their distances are the same.
Distance Martina travels is 24t
John's distance is 48(t-2), because he travelled 2 hours less but at a greater rate.
Distance are equal.
24t=48%28t-2%29
24t=48t-96
96=24t
t=4
In 4 hours, from Martina's starting time, John will catch her.
Therefore, 9 AM + 4 hours = 1 PM