SOLUTION: From the Textbook: Science and Medicine category. I need help solving the word problem and showing the equation I used to get the solution: Martina leaves home at 9:00 am., b

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Question 47556This question is from textbook Beginning Algebra
: From the Textbook:
Science and Medicine category. I need help solving the word problem and showing the equation I used to get the solution:
Martina leaves home at 9:00 am., bicycling at a rate of 24mi/h. Two hours later, driving at the rate of 48mi/h, at what time will John catch up with Martina? This question is from textbook Beginning Algebra

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
This is a problem of related rates.
The most important information, and the easiest to miss,
is at the very end.
They meet.
Each has traveled the same distance, since they started
at the same place.
Let = Martina's distance
Let = John's distance

so, just call the distance
= Martina's time
When they meet, John's time will be 2 hours less
= John's time
24 = Martina's rate
48 = John's rate

So, Martina's time is 4 hours and JOhn's time is hours
or 2 hours. If Martina left at 9 AM, then 4 hours later, it will
be 1 PM (answer)