SOLUTION: An airplane flies 5670 miles into the wind for 18 hours. The return trip takes 14 hours. Find the speed of the airplane without a wind and the speed of the wind.

Algebra ->  Proportions -> SOLUTION: An airplane flies 5670 miles into the wind for 18 hours. The return trip takes 14 hours. Find the speed of the airplane without a wind and the speed of the wind.      Log On


   

Question 1002556: An airplane flies 5670 miles into the wind for 18 hours. The return trip takes 14 hours. Find the speed of the airplane without a wind and the speed of the wind.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put the information into a data table and use the basic uniform travel rates rule RT=D. 

                     rate      time     distance
INTO WIND            r-w        18       5670
RETURN WITH WIND     r+w        14       5670


Skipping a step,...
system%2818r-18w=5670%2C14r%2B14w=5670%29

system%28r-w=315%2Cr%2Bw=405%29
This system is well fit for the Elimination Method.

highlight%28r=360%29, highlight%28w=45%29