SOLUTION: The distance covered by a bike is given by the expression x²+3x+2. The time taken by the bike to cover the distance is given by the expression (x+2). Find the speed of the bike

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The distance covered by a bike is given by the expression x²+3x+2. The time taken by the bike to cover the distance is given by the expression (x+2). Find the speed of the bike      Log On


   

Question 1170850: The distance covered by a bike is given by the expression x²+3x+2. The time taken by the bike to cover the distance is given by the expression (x+2). Find the speed of the bike
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

d = distance
d = x^2+3x+2
d = (x+2)(x+1) .... factor the polynomial

r = speed or rate
r = unknown

t = time
t = x+2

distance = rate*time
d = r*t
r = d/t
r = (x^2+3x+2)/(x+2)
r = ((x+2)(x+1))/(x+2)
r = x+1 ..... we have a pair of "(x+2)" terms cancel


Answer: x+1

The units for this speed are unknown since your teacher has not given you any units for the distance and the time. If for example the distance was in feet and the time was in minutes, then the speed would be in feet per minute. Keep in mind that this is an example of course.