Substituting 
, yields 
, and
which can be separated as
Integrate both sides concerning 
. For the left integral, split into partial fractions:
Resolve for 
:
Substitute and determine 
:
Utilize the given initial condition to find 
:
concluding with the particular solution:
Response:
The bike positioned higher on the y-axis is the one that has traveled a greater distance.
Step-by-step explanation:
If Dorrian charted the positions of the bikes with time in seconds on the x-axis and distance traveled on the y-axis, the x-coordinates for both bikes would align.
However, the bike that finished faster would achieve a higher y-coordinate, while the slower one trail behind with a lower y-coordinate.
Thus, the bike with the higher y-coordinate is the victor of the race.
4.95 + 4.95 × 0.05 = 5.20
$5.20
