SOLUTION: A man reaches his office 40mins late if he walks at the rate of 3km/hr.On the other hand, he arrives 30 mins early if he walks at the rate of 4 k/hr .What is the distance between

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Question 1034489: A man reaches his office 40mins late if he walks at the rate of 3km/hr.On the other hand, he arrives 30 mins early if he walks at the rate of 4 k/hr .What is the distance between his home and his office?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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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%2F3+-+L%2F4 = 40%2F60+%2B+30%2F60,

4L%2F12+-+3L%2F12 = 70%2F60

L%2F12 = 7%2F6,

L = 12%2A%287%2F6%29 = 14 km.

For similar problem see the lesson How far do you live from school? in this site.