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

Question 5087: 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 work? Please explain and solve.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
Peter had a noon appointment 60 miles from his home. He drove from his home at an average (answered by ankor@dixie-net.com)

Mary Baylor drove to work on Thursday at 40 miles per hour and arrived one minute late.... (answered by checkley77,gonzo)

Pam drove to work on Wednesday at 40 miles per hour and arrived one minute late. She left (answered by checkley77)

monica drove to work on monday at 40 miles per hour and arrived one minute late. she left (answered by mananth,ikleyn)

Paloma Rey drove to work on Wednesday at 40 miles per hour, an darrived one minute late. (answered by jayanthi)

Alicia needs to get to work at 8am. On Tuesday, she drove to work at an average speed of... (answered by lwsshak3)

A man drove 156 miles at a constant rate. If he had driven 5 miles per hour faster he... (answered by stanbon)

A person drove 22 miles per hour. If he drove 33 miles per hour he would have arrived 4... (answered by Fombitz)

I drove to my parents house at 60 miles per hour. If I had driven 50 miles an hour... (answered by josgarithmetic)