SOLUTION: A commercial plane has been flying for 3 hours when changing the wind decrease the plane's average speed by 30 km/h. If the entire trip of 2540 km took 5h, how far did the plane tr

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A commercial plane has been flying for 3 hours when changing the wind decrease the plane's average speed by 30 km/h. If the entire trip of 2540 km took 5h, how far did the plane tr      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1151337: A commercial plane has been flying for 3 hours when changing the wind decrease the plane's average speed by 30 km/h. If the entire trip of 2540 km took 5h, how far did the plane travel before the wind changed.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
:
use the formula, rate * time = distance
:
let r be the rate of the plane
:
3r +2(r-30) = 2540
:
Note the plane flew at the reduced rate for (5-3) = 2 hours
:
3r +2r -60 = 2540
:
5r = 2600
:
r = 520
:
520 * 3 = 1560
:
***************************************************
the plance traveled 1560 km before the wind changed
***************************************************
: