SOLUTION: Before going to babysit, Katie met George at Ted and Wally's for a malt. After malts, he stuck around for a while. Katie rode her bike North at 12 mph and it took her 2 hours to ge

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Question 220605: Before going to babysit, Katie met George at Ted and Wally's for a malt. After malts, he stuck around for a while. Katie rode her bike North at 12 mph and it took her 2 hours to get to her babysitting job. He left 15 minutes later, also riding north, but going 16 mph, Did he catch up to her before she got to her job?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Katie rode her bike North at 12 mph and it took her 2 hours to get to her babysitting job.
He left 15 minutes later, also riding north, but going 16 mph,
Did he catch up to her before she got to her job?
:
Change 15 min to .25 hrs
:
Let t = G's travel time
then
(t+.25) = K's travel time
:
Find the time required for G to catch up with K
:
Use the distance equation: dist = speed * time
(they will have traveled the same dist when G catches K)
:
16t = 12(t+.25)
:
16t = 12t + 3
:
16t - 12t = 3
:
4t = 3
t = hrs
:
Since it would take her 2 hr to get to her job, he did catch up