# SOLUTION: During the first 20 mi of a 50 mi bicycle race. Roger's average speed was 16 mi/h. what must his average speed be during the remainder of the race if he is to finish the race in l

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 Question 331927: During the first 20 mi of a 50 mi bicycle race. Roger's average speed was 16 mi/h. what must his average speed be during the remainder of the race if he is to finish the race in less than 2.5h?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!During the first 20 mi of a 50 mi bicycle race. Roger's average speed was 16 mi/h. what must his average speed be during the remainder of the race if he is to finish the race in less than 2.5h? First 20 mi. 16 mph time = 20/16 = 5/4 hours. .. he has to finish in less than 2.5 hours = 5/2 hours Balance time = 5/2 - 5/4 = 10-5 /4= 5/4 hours . He has to ride 30 more miles. in less than 5/4 hours speed > distance / time speed > 30/(5/4) speed > 30*4/5 speed > 24 mph he has to ride at speed > 24 mph