document.write( "Question 635338: David participates in a bicycle race in which a rider starts every 5 minutes. David's average is 33 km/hr. After 28 minutes, he is overtaken by a rider who started 2 persons after him. What is the rate of the other cyclist in km/hr? \n" ); document.write( "
Algebra.Com's Answer #400390 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! David participates in a bicycle race in which a rider starts every 5 minutes. \n" ); document.write( " David's average is 33 km/hr. \n" ); document.write( " After 28 minutes, he is overtaken by a rider who started 2 persons after him. What is the rate of the other cyclist in km/hr? \n" ); document.write( ": \n" ); document.write( "Let s = speed of the 2nd cyclist \n" ); document.write( ": \n" ); document.write( "From the information given, the 2nd rider started 15 min behind David \n" ); document.write( ": \n" ); document.write( "Change 28 min to hrs: \n" ); document.write( "Change (28-15) = \n" ); document.write( ": \n" ); document.write( "When this happens, they will have traveled the same distance. \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply both sides by 60 \n" ); document.write( "13s = 28(33) \n" ); document.write( "13s = 924 \n" ); document.write( "s = 924/13 \n" ); document.write( "s = 71.1 km/hr, speed of the 2nd rider \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the distance of each \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |