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

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
RELATED QUESTIONS
Hi I don't understand how to set up this problem. During the first 20 mi of a 50 mi... (answered by lwsshak3,stanbon)

I have been working on this math problem for awhile now and I can't seem to figure it out (answered by Alan3354)

During the first 20 miles of a 50 mile bicycle race, Roger's average speed was 16 mi/h.... (answered by solver91311)

During the first 20 miles of a 50 mile bicycle race, Roger's average speed was 16 mi/h.... (answered by josmiceli)

I've been having some trouble solving this particular problem, mainly because I don't... (answered by nerdybill)

During the first 20 mi of a 50mi bicycle race, Toger's average speed was 16 mi/h. Must... (answered by nerdybill)

During the first 6 hours of a trip, you average 44 mi/h. During the last 4 hours of your... (answered by josmiceli)

During the first 20km of a 50 km bicycle race, Rosa's average speed was 30 km/h. What... (answered by lwsshak3)

Your brother competed in a long bicycle race. For the 1st half of the race he averaged... (answered by stanbon)