SOLUTION: I need help. I am having trouble setting up the equation. A cyclist rides a distance of 100 miles to a distant city. His return trip takes 3 hours longer because his speed decre

Question 854011: I need help. I am having trouble setting up the equation.
A cyclist rides a distance of 100 miles to a distant city. His return trip takes 3 hours longer because his speed decreases by 30 mph. How fast did he ride each way?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his speed riding to the city
= his speed returning
Let = his time in hours to get to the city
= his time returning
---------------------------------
Equation for 1st trip:
(1)
Equation for return trip
(2)
-----------------------------
(2)
(2)
(2)
(2)
Substitute this result into (1)
------------------------------
(1)
(1)
(1)
(1)
I can see by looking at it, this is:
(1)
( because time is positive, not negative )
--------------------
hrs is his time to get to the city
hrs is his time to return
---------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK

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