aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. how many miles from home can aaron jog so that he spends a total of t hours jogging and walking?
e. ((y+t)/(x)) - (t/y)
help guys, i don't get the OA for this one.
I get C.
First find average mph:
Set d = distance one way.
Jog total hour = d/x
Walk total hour = d/y
Ave mph = Total Distance / Total Time = (2d) / ((d/x) + (d/y))
= 2xy / (x+y)
Therefore, in t time, Arron will cover: 2xyt / (x+y) miles
You want to find d in term of x, y, and t, so you have:
2xyt / (x+y) = 2d
d = xyt / (x+y)