SOLUTION: A train travels 110 km in the same time that a plane covers 385 km. If the speed of the plane is 20 km less than 4 times the speed of the train, find both speeds. I know this is

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Question 760992: A train travels 110 km in the same time that a plane covers 385 km. If the speed of the plane is 20 km less than 4 times the speed of the train, find both speeds.
I know this is a distance times time gets rate formula problem where the blank has to be filled in be elimination or substitution. All I can figure out is the abbrevations that I want to use for train (t) and plane (p) and the numbers that go with them. t110 and p385. that's all I've come with.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels 110 km in the same time that a plane covers 385 km. If the speed of the plane is 20 km less than 4 times the speed of the train, find both speeds.
--------------------------
train DATA:
distance = 110 km ; time = x hrs ; ; rate = 110/x hrs
----------
plane DATA:
distance = 385 km ; time = x hrs ; rate = 385/x hrs
----------------------
Equation:
plane rate = 4*train rate - 20
---
(385/x) = 4(110/x) - 20
-----
385 = 4(110) - 20x
20x = 440-385
20x = 55
x = 11/4 hrs
===========
car rate = 110/(11/4) = 440/11 = 40 km/hr
---
plane rate = 385/(11/4) = 140 km/hr
==========================================
Cheers,
Stan H.
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