Quantitative Aptitude :: Time and Distance - Discussion

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Explanation:
Time taken for trip from home to mountains=9h
Time taken for trip from mountains to home=4h
Let distance from home to mountains=x miles
let average speed from home to mountains=y miles/h
Given avg speed on the trip home is 40m/h faster than speed from home to mountains=y+40 m/h
=> (x/9)=y and (x/4)=y+40
by solving this, we get y=32 m/h and the distance x=32*9=288 miles.