SOLUTION: 2. A train required 2 h longer to travel 500 km than a plane required to travel 1200 km. Find the speed of the train, if the plane travels 4 times as fast as the train.

Question 593008: 2. A train required 2 h longer to travel 500 km than a plane required to travel 1200 km. Find the speed of the train, if the plane travels 4 times as fast as the train.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the train
= the speed of the plane
Let = time for the plane
= time for the train
---------
Equation for the train:
(1)
Equation for the plane:
(2)
---------------
This is 2 equations and 2 unknowns,
so it's solvable
(1)
and
(2)
(2)
Substitute (2) into (1)
(1)
(1)
(1)
The speed of the train is 100 km/hr
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
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