SOLUTION: Monday Roger, goes to work, it takes him 35 minutes. Tuesday he goes to work and he goes 9 mph more than he did Monday and it took him 7 minutes less. how far did he go ?
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Question 770404: Monday Roger, goes to work, it takes him 35 minutes. Tuesday he goes to work and he goes 9 mph more than he did Monday and it took him 7 minutes less. how far did he go ? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the distance to work in miles
Let = his speed in mi/hr on Monday = his speed on Tuesday
------------------------
Equation for Moday:
(1) ( the time is converted to hours )
Equation for Tuesday:
(2)
(2)
--------------------------
(2)
(2)
(2)
and
(1)
(1)
(1)
-------------------
Subtract (1) from (2)
(2)
(1)
The distance to work and back is 42 mi
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
OK
