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.

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) (Show Source): You can put this solution on YOUR website!
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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.
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Answer. At 1:00 pm.

Solution

John will catch Martina in 2 hours after his start:

time =  =  = 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.

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