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(16946) (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
