SOLUTION: a plane is climbing to its cruising altitude and is currently 1/4 of the way up. after climbing another 16000 feet, it is 2/3 of the way. what is the final cruising altitude of t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a plane is climbing to its cruising altitude and is currently 1/4 of the way up. after climbing another 16000 feet, it is 2/3 of the way. what is the final cruising altitude of t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 992007: a plane is climbing to its cruising altitude and is currently 1/4 of the way up. after climbing another 16000 feet, it is 2/3 of the way. what is the final cruising altitude of the plane?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a plane is climbing to its cruising altitude and is currently 1/4 of the way up.
after climbing another 16000 feet, it is 2/3 of the way.
what is the final cruising altitude of the plane?
:
let a = the cruising altitude
1%2F4a + 16000 = 2%2F3a
16000 = 2%2F3a - 1%2F4a
common denominator
16000 = 8%2F12a - 3%2F12a
16000 = 5%2F12a
multiply both sides by 12%2F5
12%2F5*16000 = a
cancel the 5
12 * 3200 = a
a = 38,400 ft cruising altitude