SOLUTION: Max and Rebecca's are in cars 120 miles apart. Both Drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour befo

Question 1003338: Max and Rebecca's are in cars 120 miles apart. Both Drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before they meet.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Max and Rebecca's are in cars 120 miles apart. Both Drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before they meet.
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Max DATA:
rate = 30 mph ; distance = x miles ; time = x/30 hrs
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Rebecca DATA:
rate = 40 mph ; distance = 120-x miles ; time = (120-x)/40 hrs
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Equation to find out when then would meet::
x/30 = (120-x)/40
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40x = 30*120 - 30x
70x = 30*120
x = 3600/70 = 51.42 miles
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time for the cars to meet 51.42/30 = 1.714 hrs
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How far apart will the 2 cars be in exactly 1 hour before they meet.
Max will have gone 0.714*30 = 21.42 miles
Rebecca will have gone 0.714*40 = 28.56 miles
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Ans: 28.56-21.42 = 7.14 miles apart
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Cheers,
Stan H.
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Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Max and Rebecca's are in cars 120 miles apart. Both Drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before they meet.

Time each spent travelling 1 hr before meeting: hr
Distance traveled by Max in hr: , or miles
Distance traveled by Rebecca in hr = , or miles
Distance apart hr after starting, or 1 hour before meeting: , or 120 � 50, or miles
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