SOLUTION: Martina leaves home at 9 a.m., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at a rate of 48 mi/h. At what time will john catch up with martina.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Martina leaves home at 9 a.m., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at a rate of 48 mi/h. At what time will john catch up with martina.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1054153: Martina leaves home at 9 a.m., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at a rate of 48 mi/h. At what time will john catch up with martina.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Martina leaves home at 9 a.m., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at a rate of 48 mi/h. At what time will john catch up with martina.
~~~~~~~~~~~~~~~~~~~~~

Answer. At 1:00 pm.

Solution

John will catch Martina in 2 hours after his start:

time = %282%2A24%29%2F%2848-24%29 = 48%2F24 = 2 hours.

Here 2*24 is the distance between them at 11:00 am when John start his move.

The difference (48-24) in the denominator is their relative speed.