SOLUTION: the driving distance between pensacola and Key west is 792 miles. Bus A leaves pensacola at 6:00 a.m. traveling at an average speed of 42 miles per hour. Bus B leaves Key west at 7

Question 391833: the driving distance between pensacola and Key west is 792 miles. Bus A leaves pensacola at 6:00 a.m. traveling at an average speed of 42 miles per hour. Bus B leaves Key west at 7:00 am traveling at an average speed of 33 miles per hour. At what distance, in miles, from Key west will the two busses meet?
Can you show me the work on the problem
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the driving distance between Pensacola and Key west is 792 miles.
Bus A leaves pensacola at 6:00 a.m. traveling at an average speed of 42 miles per hour.
Bus B leaves Key west at 7:00 am traveling at an average speed of 33 miles per hour.
At what distance, in miles, from Key west will the two busses meet?
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P to K DATA:
rate = 42 mph ; distance = x miles ; time = d/r = x/42 hrs.
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K to P DATA:
rate = 33 mph ; distance = 792-x miles ; time = (792-x)/33 hrs
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Equation:
P-time - K-time = 1 hr
x/42 - (792-x)/33 = 1
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Multiply thru by 42*33 to get:
33x - 42*792 + 42x = 33*42
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75x = 825*42
x = 462 miles (meeting point from P to K
792-462 = 330 miles (meeting point from K to P
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Cheers,
Stan H.
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