SOLUTION: You leave your house for school at 8 AM, driving the speed limit of 30 mph. A half hour later, your mother realizes that you forgot your socks. She jumps in her car and speeds to

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Question 672234: You leave your house for school at 8 AM, driving the speed limit of 30 mph. A half hour later, your mother realizes that you forgot your socks. She jumps in her car and speeds towards you at 80 mph. At what time will your mother catch up to you? How far are the two of you from home at this point?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
You leave your house for school at 8 AM, driving the 
speed limit of 30 mph.  A half hour later, WHEN YOU 
ARE 15 MILES FROM HOME SINCE DISTANCE=RATE×TIME = 
30(1/2)=15, your mother realizes that you 
forgot your socks.  She jumps in her car and speeds 
towards you at 80 mph.  SO HER CATCH-UP RATE IS 80-30 
OR 50 MPH.  At what time will your mother catch up to 
you?  SINCE TIME=DISTANCE/RATE, SHE'LL CATCH-UP YOUR 
15 MILES HEAD START IN 15/50 or 3/10 OF AN HOUR (OR 
18 MINUTES AT 8:18AM). How far are the two of you from 
home at this point? SINCE DISTANCE = RATE×TIME YOU'VE 
TRAVELED 30×(3/10) OR 9 MILES. 

Edwin