SOLUTION: A car makes a 120 mile trip 10 miles per hours faster than a truck. The truck takes 2 hours longer to make the trip. What are the speeds of the car and the truck?

Question 40661This question is from textbook
: A car makes a 120 mile trip 10 miles per hours faster than a truck. The truck takes 2 hours longer to make the trip. What are the speeds of the car and the truck? This question is from textbook

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
120/(T+10)=(120/T)-2 OR 120/(T+10)=(120-2T)/T OR 120T=120T-2T~2-20T+1200 OR
2T~2+20T-1200=0 OR(t-20)(T+30)=0 OR T=20MPH FOR THE TRUCK & 20+10=30 FOR THE CAR
PROOF 120/30=4 HOURS FOR THE CAR & 120/20=6 HOURS FOR THE TRUCK
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