SOLUTION: On a 2 mile racetrack you bike the first mile at 10 mph. At what rate must you bike the second mile in order to average 20mph for the entire track? I am not sure what formula to

Algebra.Com
Question 346237: On a 2 mile racetrack you bike the first mile at 10 mph. At what rate must you bike the second mile in order to average 20mph for the entire track?
I am not sure what formula to use and the average has me confused.

Found 2 solutions by vleith, Fombitz:
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Let's see how long it takes to go 2 miles at 20mph


hours. So you would take 6 minutes to cover 2 miles at 20 mph
Now, how long did you take to go 1 mile at 10 mph

hours . You used all 6 minutes on the first mile
Basically, you need to cover the next mile in no time at all.
So, either you go infinitely fast or it can't be done.
Since we can't go that fast, you cannot average 20 mph

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
Average speed equals total distance divided by total time.
.
.
For the first mile,


For the second mile,


The total distance is 2 miles.
The total time is
.
.
.





There is no solution.
You cannot go fast enough to average 20 mph.
20 mph for a 2 mile track requires 1/10 hr.
You already used that 1/10 hr for your first lap.

RELATED QUESTIONS

On a 2 mile race track, you hike the first mile at 10 mph. At what rate must you hike the (answered by Alan3354)
Suppose you travel a total of 100 miles. For the first mile, you were going at a speed of (answered by jorel1380)
Kyle rode his bike for 12 miles. During the first third of the trip, he traveled on level (answered by ikleyn)
1) You are collecting sponsers for a 10-mile walk-a-thon. So far, you have collected... (answered by stanbon)
You drive for 1 mile at a constant velocity of 30 mph. You then want to instantly speed... (answered by ankor@dixie-net.com)
expected to maintain an average speed of 60 mph for 2 miles, unfortunately engine... (answered by solver91311)
In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then sped up... (answered by ankor@dixie-net.com)
You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph. You finish in 3 hours.... (answered by ankor@dixie-net.com)
As a motorist approaches the turnpike, he travels at the rate of 20 miles per hour in... (answered by ankor@dixie-net.com)