SOLUTION: `A train goes from New Orleans to Boston at 40 mph. On the way back it returns with a speed of 80 miles per hour. If it takes one hour less time to return, what is it's average spe
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Question 980585: `A train goes from New Orleans to Boston at 40 mph. On the way back it returns with a speed of 80 miles per hour. If it takes one hour less time to return, what is it's average speed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Average speed is always [ total distance ] / [ total time ]
Let = distance in miles between New Orleans and Boston
Let = time in hrs going from New Orleans to Boston
= time in hrs going from Boston to New Orleans
-----------------------------------------------------
Equation for New Orleans to Boston:
(1)
Equation for Boston to New Orleans:
(2)
-----------------------
[ total distance ] =
--------------------------------------
(1)
(2)
(2)
---------------------------------
[ total time ] =
------------------------
[ total distance ] / [ total time ] =
Divide top and bottom by
Multiply top and bottom by
mi/hr
--------------------------------
Note that you do not take the average of the two averages
which would be: mi/hr
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