SOLUTION: Max and Rebecca 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

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Question 1005183: Max and Rebecca 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?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Max and Rebecca 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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Determine when they will meet.
Max DATA:
rate = 30 mph ; time = t hrs ; distance = 30t miles
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Reb DATA:
rate = 40 mph ; time = t hrs ; distance = 40t miles
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Equation:
30t + 40t = 120 miles
70t = 120 miles
time = 12/7 hr.
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One hour before = 5/7 hr
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Max distance after 5/7 hr = (5/7)30 = 150/7 = 21.4 miles
Reb distance after 5/7 hr = (5/7)40 = 200/7 = 28.57 miles
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Ans: Distance separating the cars:: 120-(21.4+28.57) = 70 miles
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Cheers,
Stan H.
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