SOLUTION: Car A passes point O heading east at a constant rate of 20 mi/h; car B passes the same point 1 hour later heading north at a constant rate of 50 mi/h. Express the distance between

Algebra ->  Triangles -> SOLUTION: Car A passes point O heading east at a constant rate of 20 mi/h; car B passes the same point 1 hour later heading north at a constant rate of 50 mi/h. Express the distance between       Log On


   



Question 344533: Car A passes point O heading east at a constant rate of 20 mi/h; car B passes the same point 1 hour later heading north at a constant rate of 50 mi/h. Express the distance between the cars as a function of time t, where t is measured starting when car B passes point O.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
.
.
.
During the 1 hour difference, Car A moved 20 miles away from point O.
Car A's distance from point O would be,
D%5Ba%5D=20t%2B20
Car B's distance would be,
D%5Bb%5D=50t
The distance between them, D, would be
D=D%5Ba%5D-D%5Bb%5D
D=20t%2B20-50t
highlight%28D=-30t%2B20%29