SOLUTION: A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane
Algebra.Com
Question 705654: A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
**
let x=speed of propeller plane
x+125=speed of jet plane
travel time=distance/speed
..
5850/x-5850/(x+125)=5
LCD:x(x+125)
5850(x+125)-5850x=5x(x+125)
5850x+731250-5850x=5x^2+625x
5x^2+625x-731250=0
x^2+125x-146250=0
(x-325)(x+450)=0
x=-450 (reject, x>0)
x=325
x+125=450
speed of propeller plane=325 mph
speed of jet plane=450 mph
RELATED QUESTIONS
A jet plane, flying 60 mph faster than a propeller plane, travels 5850 miles in 2 hours... (answered by josgarithmetic)
A jet plane, flying 160 mph faster than a propeller plane, travels 4800 miles in 5 hours... (answered by josgarithmetic)
A jet plane, flying 150 mph faster than a propeller plane, travels 5280 miles in 5 hours... (answered by ankor@dixie-net.com)
A jet plane, flying 120 mph faster than a propeller-driven plane, travels 2,700 miles in... (answered by jorel1380)
A jet plane, flying mph faster than a propeller plane, travels 5940 miles in 6 hours... (answered by solver91311)
A jet plane, flying mph faster than a propeller plane, travels miles in hours less... (answered by stanbon)
A jet plane, flying 30 mph faster than a propeller plane, travels 5460 miles in 1 hours... (answered by lwsshak3)
A jet plane, flying 165 mph faster than a propeller plane, travels 2970 miles in 3... (answered by checkley79)
A jet plane, flying mph faster than a propeller plane, travels miles in hours less... (answered by stanbon)