SOLUTION: a train made a trip of 600 miles between 2 cities. if it averaged 10 miles per hour more, it would have required 2 hours less to take the trip. find the rate of speed of the train.
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Question 749464: a train made a trip of 600 miles between 2 cities. if it averaged 10 miles per hour more, it would have required 2 hours less to take the trip. find the rate of speed of the train. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the 1st speed in mi/hr = the increased speed in mi/hr
Let = the train's time at mi/hr = the train's time at mi/hr
----------------------
given:
(1)
(2)
----------------------------
(2)
(2)
(2)
and,
(1)
(1)
(2)
(2)
(2)
(2)
(2)
Use quadratic formula ( can't use negative square root )
and
(1)
(1)
(1)
The speed of the train is 50 mi/hr
check:
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
