SOLUTION: Sharon Kobrin commutes to her office by train.When she walks to the train station,it takes her 40 min.When she rides her bike,it takes her 12 min.Her average walking rate is 7 mph

Question 1016904: Sharon Kobrin commutes to her office by train.When she walks to the train station,it takes her 40 min.When she rides her bike,it takes her 12 min.Her average walking rate is 7 mph less than her average biking rate.Find the distance from her house to the train station.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert all minutes to hours
hrs
hrs
Let = her average biking rate
Let = distance in miles to train station
-------------------------------------
Equation for walking:
(1)
Equation for biking:
(2)
---------------------

Multiply both sides by

and

---------------
(2)
(2)
(2)
and
(1)
(1)
(1)
The distance to the train station is 2 mi
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