Going to Work Puzzle - The Answer

(Solution Hidden)

Here is the answer to the Going to Work Puzzle:

We can use the formula distance = rate X time.

When the wife catches up to her husband, they will be the same distance from their house. Thus Dwife = Dhusband

This means that RATEwife X TIMEwife = RATEhusband X TIMEhusband

Since the wife's rate was 60 mph, the husband's rate was 30 mph, and the husband left a 1/2 hour early, this can be rewritten as:

60 X TIMEwife = 30 X (TIMEwife + 1/2)

= 60 X TIMEwife = 30 X TIMEwife + 15

= 30 X TIMEwife = 15

= TIMEwife = 1/2

Thus, the answer is that it takes the wife 1/2 hour (30 minutes) to catch up to her husband.