A woman and her bicycle

Cycling

A woman rides her bicycle from her house to and from a lake. It takes her 112 hours to ride to the lake and 134hours to ride back. She rides downhill at 12 kilometers per hour, on level ground at 8 kilometers per hour, and uphill at 6 kilometers per hour. What is the distance in kilometers from her house to the lake?

Details and assumptions

Let's assume she doesn't get tired on her way back!
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