SOLUTION: Peter drove to work at 40 miles per hour and arrived one minute late. If he had driven at 45 miles per hour, he would have arrived one minute early. How far does Peter drive to wor

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Of course the basic formula for this is D= RT.

Let t= time (in hours) required to arrive ON TIME
Change 1 minute early or late to hour early or late.
= time required to arrive a minute late at 40 mph.
= time required to arrive a minute early at 45 mph.
Distance is the same either way he arrives, so RT = RT


Use distributive property to remove the parentheses:


Subtract 40t from each side:



Add to each side:



Divide both sides by 5:
hours. (This means 17 minutes to arrive ON TIME!)

Distance = Rate * Time
(At 40) = 12 miles, arriving 1 minute late.
(At 45) = 12 miles, arriving 1 minute early.

Calculating distance both ways is a check!!

R^2 at SCC