SOLUTION: Peter and paul shared the driving during a road trip, both driving the same amount of time. Since peter drove at 70mph and paul at 75mph, peters distance was 30 miles shorter than

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Question 891415: Peter and paul shared the driving during a road trip, both driving the same amount of time. Since peter drove at 70mph and paul at 75mph, peters distance was 30 miles shorter than pauls distance. How many hours did each person drive?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
t = the amount of time each driver drove
d = amount of distance Paul drove
RT=D for rate time distance, the uniform rates travel equation in general.


________________speed_______time_______distance
Peter____________70__________t___________d-30
Paul_____________75__________t___________d

Form the two obvious equation in the two unknown variables and solve the system.


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JUST A LITTLE MORE....

Using the uniform rates equation RT=D, rate time distance, as a fundamental model, form the equations:
70t=d-30 and 75t=d.
SOLVE THIS SYSTEM.