Ms. Handler walks to work at an average speed of 5 kilometers per hour . If she increases her speed to 6 kilometers per hour, she will save ten minutes
I assume that the increase in speed is for the whole distance and that you want to know far she has to walk.
Let X be the distance
60min/5Km * X km = 12X minutes
60min/6km * X km = 10X minutes
10X +10 = 12X
10 = 2X
X = 5km