SOLUTION: a man gets 20 minutes late to his office when he travels at a speed of 20 kmph and 25 mins. Early when he travels at a speed of 80 kmph. The distance he travels to reach his office

Question 837670: a man gets 20 minutes late to his office when he travels at a speed of 20 kmph and 25 mins. Early when he travels at a speed of 80 kmph. The distance he travels to reach his office is
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
He begins at a time point on a time line. He can go slow and be hours or he can go fast and be hours. The variable, is used as a reference to time on a number line.

______________speed________time(hours)_____distance(km)
Slow,late_______20________t+1/3_____________d
Fast,early______80________t-5/12____________d

The distance is the same value for both speeds used, early or late.

, basic concept.

If everything makes sense to this extent, then you are ready to solve for . This is the value the man expects if to arrive ON-TIME.
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hour which is 40 minutes.
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Now, what is the distance?
Either direction's equation will work. Trying the slow form,

km
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