SOLUTION: Two trains each make a journey of 330km. One of the trains travels 5km/h faster than the other and takes 30 minutes less time. Find the speeds of the trains.
Solve by forming an
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Question 581690: Two trains each make a journey of 330km. One of the trains travels 5km/h faster than the other and takes 30 minutes less time. Find the speeds of the trains.
Solve by forming and solving a suitable quadratic equation.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let =the speed of the slower train
Let = the time for the slower train
-------------
Slower train:
(1)
faster train:
(2)
--------------------------
(2)
(1)
Substitute this into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
Use the quadratic formula
( ignore the negative root )
55 km/hr is the speed of the slower train
60 km/hr is the speed of the faster train
check:
(1)
(1)
(1) hrs
(2)
(2)
(2)
(2)
(2) hrs
OK
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