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

Question 994696: A train travels 110 km in the same time that a plane covers 385km. If the speed of the plane is 20 km per hr less than 4 times the speed of the train, find both speeds.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the train in km/hr
= the speed of the plane in km/hr
--------------------
Equation for train:
(1)
Equation for plane:
(2)
----------------------
(2)
and
(1)
-----------------
By substitution:
(2)
(2)
(2)
(2)

and

-----------------
The speed of the train is 40 km/hr
The speed of the train is 140 km/hr
-----------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK

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