document.write( "Question 310328: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
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Algebra.Com's Answer #221902 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two cyclists start biking from a trail's start 3 hours apart. \n" ); document.write( " The second cyclist travels at 10 miles per hour and starts 3 hours after the \n" ); document.write( "first cyclist who is traveling at 6 miles per hour. \n" ); document.write( " How much time will pass before the second cyclist catches up with the first \n" ); document.write( " from the time the second cyclist started biking? \n" ); document.write( ": \n" ); document.write( "Let t = travel time of the 2nd cyclist \n" ); document.write( "then \n" ); document.write( "(t+3) = travel time of the 1st cyclist \n" ); document.write( ": \n" ); document.write( "When the 2nd cyclist catches the 1st, they will have traveled the same distance \n" ); document.write( "Write a dist equation: dist = speed * time \n" ); document.write( ": \n" ); document.write( "2nd cyclist dist = 1st cyclist dist \n" ); document.write( "10t = 6(t+3) \n" ); document.write( "10t = 6t + 18 \n" ); document.write( "10t - 6t = 18 \n" ); document.write( "4t = 18 \n" ); document.write( "t = \n" ); document.write( "t = 4.5 hrs travel time for the 2nd cyclist to catch the 1st \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distance of each (should be the same) \n" ); document.write( "1st cyclist travel time = 7.5 hrs \n" ); document.write( "6*7.5 = 45 mi \n" ); document.write( "10*4.5 = 45 mi \n" ); document.write( " |