SOLUTION: A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance from point A will the car catch up with the truck?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance from point A will the car catch up with the truck?      Log On


   



Question 1010253: A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance from point A will the car catch up with the truck?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                speed        time        distance
early slow      60            t+2         d
late fast       90            t           d

That make sense according to the description? Hope so.


Now, you saw the variable assignments, and instead, MORE will be made.
                speed        time        distance
early slow      r            t+h         d
late fast       R            t           d


Known variables, r, R, h.
Unknown variables, t, d.


System of equations will be system%28r%28t%2Bh%29=d%2CRt=d%29

Solve for a formula for d, only in terms of r, R and h.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance from point A will the car catch up with the truck?
With D being the distance from A, or the catch-up point, create the following TIME equation: D%2F60+=+D%2F90+%2B+2
Distance from A: highlight_green%28360%29 miles