SOLUTION: jet plane is traveling six hundred miles per hour it over take a propeller plane that is traveling 250 miles per hour that had a3 hour head start how far are the two planes find a

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: jet plane is traveling six hundred miles per hour it over take a propeller plane that is traveling 250 miles per hour that had a3 hour head start how far are the two planes find a       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 840411: jet plane is traveling six hundred miles per hour it over take a propeller plane that is traveling 250 miles per hour that had a3 hour head start how far are the two planes find a starting point
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
jet plane is traveling six hundred miles per hour it over take a propeller plane that is traveling 250 miles per hour that had a 3 hour head start.
how far are the two planes find a starting point
:
Find the travel time of the two planes first
let t = travel time of the jet
then
(t+3) = travel time of the prop (started 3 hrs earlier)
:
When the jet overtakes the prop, they will have traveled the same dist
Write a dist equation: d = speed * time
600t = 250(t+3)
600t = 250t + 750
600t - 250t = 750
350t = 750
t = 750/350
t = 2.143 hrs
:
Find the distance
600 * 2.143 = 1285.8 mi from starting point
:
;
Check this by finding the distance traveled by the prop
5.143 * 250 = 1285.8