SOLUTION: From a Truck stop, two trucks travel in opposite directions on a straight highway. In 3 hours they are 405 miles apart. Find the rate of each truck if one travels 5mph faster than

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: From a Truck stop, two trucks travel in opposite directions on a straight highway. In 3 hours they are 405 miles apart. Find the rate of each truck if one travels 5mph faster than       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 952646: From a Truck stop, two trucks travel in opposite directions on a straight highway. In 3 hours they are 405 miles apart. Find the rate of each truck if one travels 5mph faster than the other
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time= Distance
R%5B1%5D%2A3=D%5B1%5D
R%5B2%5D%2A3=D%5B2%5D
R%5B1%5D=R%5B2%5D%2B5
So then,
D%5B1%5D%2BD%5B2%5D=405
R%5B1%5D%2A3%2BR%5B2%5D%2A3=405
R%5B1%5D%2BR%5B2%5D=135
Substituting,
R%5B2%5D%2B5%2BR%5B2%5D=135
2R%5B2%5D=130
R%5B2%5D=65mph
and
R%5B1%5D=65%2B5
R%5B1%5D=70mph