SOLUTION: Sara leaves at 7 am traveling at a rate of 45 mi/h. Her son discovers that she has forgotten her suitcase and starts out to catch up with her. Her son leaves at 7:30 am traveling a

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Question 846410: Sara leaves at 7 am traveling at a rate of 45 mi/h. Her son discovers that she has forgotten her suitcase and starts out to catch up with her. Her son leaves at 7:30 am traveling at a rate of 55 mi/h. At what time will he overtake his mother.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The son leaves %281%2F2%29 hour after, so The difference in their travel times will be %281%2F2%29 hour. Let d = the unknown distance they travel when the son reaches Sara.

______________speed_________time__________distance
Sara__________45____________t+1/2_________d=45%28t%2B1%2F2%29
Son___________55_____________t____________d=55t


Solve the obvious equation for t, and be aware, the TIME OF THE DAY that the son reaches Sara would be 7%261%2F2%2BtA.M.