SOLUTION: A turbo-jet flies 50 mph. faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it takes the super-prop to go 2800 miles, find the speed of each
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Question 409828: A turbo-jet flies 50 mph. faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it takes the super-prop to go 2800 miles, find the speed of each plane.
I set this up as 2800/10 + 50 = 2000/t-3
when I factor the GCF of t(t-3) I cannot get any further...please help!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= speed of super-prop
= speed of turbo-jet
= time for super-prop to go 2800 mi
given:
(1)
(2)
(3)
This is 3 equations and 3 unknowns, so it's solvable
Substitute (1) in (2)
(2)
(2)
Substitute (3) in (2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
The turbo-jet has a speed of 400 mi/hr
The super-prop has a speed of 350 mi/hr
check answer:
(2)
(2)
(2)
(2)
(2) hrs
and
(3)
(3)
(3)
OK
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