SOLUTION: Please help me set this up. Fred leaves John's house and drives toward Tampa at 27mph. Kim leaves 2 hours later and drives the same route at 45 mph. How long will it take Kim to ov

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Please help me set this up. Fred leaves John's house and drives toward Tampa at 27mph. Kim leaves 2 hours later and drives the same route at 45 mph. How long will it take Kim to ov      Log On

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Question 31025: Please help me set this up. Fred leaves John's house and drives toward Tampa at 27mph. Kim leaves 2 hours later and drives the same route at 45 mph. How long will it take Kim to overtake Fred?
Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
Fred's time = x%2F27 or the number of miles [OVER] 27+miles%2Fhour [[leaving only hours in the answer]]
Kim's time = 2%2Bx%2F45 or two hours plus the number of miles [OVER] 45+miles%2Fhour
setting these two equation equal to each other will give us the number of hours until Kim and Fred are at the same place.
x%2F27=2%2Bx%2F45multiply both sides by 27 then by 45 to cancel out the denominators
45x=27%2A2%2B27x
45x=54%2B27x subtract 27x from both sides
18x=54 divide by 18
x=3 or 3 hours until Kim overtakes Fred.