SOLUTION: geoffrey drove 60mph on the way to visit his parents. on the way back to school he drove 75mph and it took him one hour less time then it did to drive to his parents house. a) w

Question 833021: geoffrey drove 60mph on the way to visit his parents. on the way back to school he drove 75mph and it took him one hour less time then it did to drive to his parents house.
a) what the total driving time for his trip?
b) how far is his school from his parents house?
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Try it this way:
geoffrey drove g mph on the way to visit his parents. on the way back to school he drove r mph and it took him k hour less time then it did to drive to his parents house.

______________speed____________time______________distance
going_________g________________t_________________d
returning_____r________________t-k_______________d

Known variables: g, r, k
Unknown variables: t, d
Variables Assigned as g=60, r=75, k=1

Equations possible from data:
, and ;
The system is linear for t and for d. The simplest thing to do is equate the two expressions for d, and first solve for t.
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