SOLUTION: I can walk to work at 4mph or cycle at 12mph and I save ten minutes if I ride my bike. How far is it to work?

Question 832281: I can walk to work at 4mph or cycle at 12mph and I save ten minutes if I ride my bike. How far is it to work?
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Unknown variables are the time t, for walking and the distance to work, d.
Use the simple travel rate equation, R*T=D. Do not worry about the ratio of walking to cycling speeds.

______________speed________time(hours)_______distance
WALK____________4____________t_______________d
CYCLE___________12__________t-1/6____________d

Walking:
Cycling:

Simplify and try to use in the form of At+Bd=C.
-
Walk equation is like ;
-
Cycle equation,

System is now useful as:
and
Use Elimination Method. Subtract the second equation from the first, according to the system as just shown:

------A part of the answer resutl.
-
Now find the distance. Use the simpler original equation for WALKING.

mile distance to work.
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