SOLUTION: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Question 40648This question is from textbook
: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. This question is from textbook

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
600/S=(600/(S+20))+1 OR 600/S=(600+S+20)/(S+20) OR 600(S+20)=600S+S~2+20S OR
600S+1200=600S+S~2+20S OR 1200=S~2+20S OR S~2+20-1200=0 OR (S+120)(S-100)=0 or
S=100 & S+20=120 PROOF 600/100=6 HOURS & 600/120=5 & 6-5=1 HOUR DIFFERENCE

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