document.write( "Question 914576: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, had a 3 hour head start. How far from the starting point does the car overtake the cyclist? \n" ); document.write( "

Algebra.Com's Answer #555214 by MathTherapy(10552) $\"\"$ $\"About$

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A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, had a 3 hour head start. How far from the starting point does the car overtake the cyclist?
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document.write( "Let distance traveled to catch-up point, be D
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document.write( "Then car would've taken  to get to catch-up point
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document.write( "Cyclist would've taken  to get to catch-up point
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document.write( "Both would've covered the same distance, but car's time would be 3 hours less than cycle's time. Therefore, we get:
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document.write( "D = 4D - 144 ------ Multiplying by LCD, 48
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document.write( "D - 4D = - 144
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document.write( "- 3D = - 144
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document.write( "D, or distance traveled to catch-up point (distance from starting point) = , or  miles \n" );
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