SOLUTION: Please help me solve this word problem: It takes a small jet plane 4 hours less time than it takes a propeller-driven plane to travel from Glen Rock to Oakville. The jet plane aver

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Question 600288: Please help me solve this word problem: It takes a small jet plane 4 hours less time than it takes a propeller-driven plane to travel from Glen Rock to Oakville. The jet plane averages 637 km/h while the propeller plane averages 273 km/h. How far is it from Glen Rock to Oakville?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Distance equals rate times time, therefore distance divided by rate equals time.

The time for the jet to travel the distance is then

Then the time for the slower aircraft is:

But the slower aircraft takes 4 hours longer, so:

Solve for

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = distance from Glen Rock to Oakville in km
Let = time in hours for propeller plane
to fly from Glen Rock to Oakville
---------------------------
Equation for jet:
(1)
Equation for propeller plane:
(2)
--------------
This is 2 equations and 2 unknowns,
so it's solvable
Set (1) = (2)

Plug this result back into (1) or (2)
(2)
(2)
It is 1,911 km from Glen Rock to Oakville
check:
(1)
(1)
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
OK