SOLUTION: Beatriz commutes to work every day. On her way to work, there is a lot of Road Reparation going on and she travels at 40 miles per hour. On the way home, the road is new, and she

Algebra ->  Expressions-with-variables -> SOLUTION: Beatriz commutes to work every day. On her way to work, there is a lot of Road Reparation going on and she travels at 40 miles per hour. On the way home, the road is new, and she      Log On


   



Question 292561: Beatriz commutes to work every day. On her way to work, there is a lot of Road Reparation going on and she travels at 40 miles per hour. On the way home, the road is new, and she travels at 90 miles per hour. What is Beatriz’s average commute velocity?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
going she travels at 40 miles per hour.
returning, travels at 90 miles per hour.
What is Beatriz’s average commute velocity?
:
Let d = distance traveled one way
Let s = average speed for the commute
:
Write time equation: Time = dist/speed
:
Go time + return time = total time
d%2F40 + d%2F90 = %282d%29%2Fs
multiply equation by 360s. results:
9ds + 4ds = 360(2d)
13ds = 720d
Divide both sides by d
13s = 720
s = 720%2F13
s = 55.38 mph is the average speed
:
: