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A man reaches his office 40 mins late if he walks at the rate of 3 km/hr. On the other hand, he arrives 30 mins early
if he walks at the rate of 4 km/hr. What is the distance between his home and his office?
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Let L be that distance.
Then
= ,
=
= ,
L = = 14 km.
For similar problem see the lesson How far do you live from school? in this site.