document.write( "Question 325948: You are driving a car at 45 mph. Your friend is driving his car at 47 mph and leaves 2 hours after you. The two of you follow the same route in the same direction. How long until your friend catches up with you? \n" ); document.write( "

Algebra.Com's Answer #233306 by mananth(16946) $\"\"$ $\"About$

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You are driving a car at 45 mph. Your friend is driving his car at 47 mph and leaves 2 hours after you. The two of you follow the same route in the same direction. How long until your friend catches up with you?
\n" ); document.write( "..
\n" ); document.write( "You are driving at 45 mph.
\n" ); document.write( "let the friend meet you after he has traveled x miles
\n" ); document.write( "speed = 47mph
\n" ); document.write( "the time taken by your friend to travel x miles x/47
\n" ); document.write( "..
\n" ); document.write( "In 2 hours you have already traveled 90 miles.
\n" ); document.write( "During this time you travel x-90 miles
\n" ); document.write( "time taken by you = x-90 / 45.
\n" ); document.write( "..
\n" ); document.write( "x-90 /45 = x/47
\n" ); document.write( "47(x-90)=45x
\n" ); document.write( "47x-4230=45x
\n" ); document.write( "47x-45x=4230
\n" ); document.write( "2x=4230
\n" ); document.write( "x=2115 miles
\n" ); document.write( "..
\n" ); document.write( "Distance when he catches up = 2115 miles
\n" ); document.write( "His speed = 47mph.
\n" ); document.write( "so time taken = 2115/47
\n" ); document.write( "45 hours \n" ); document.write( "

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