# SOLUTION: You must state your answer in words. You must set up a system of two equations in two variables. You must state what the variables represent. You must show all the steps in solvi

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: You must state your answer in words. You must set up a system of two equations in two variables. You must state what the variables represent. You must show all the steps in solvi      Log On

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 193355: You must state your answer in words. You must set up a system of two equations in two variables. You must state what the variables represent. You must show all the steps in solving the system of equations. An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train. Thank You!Answer by stanbon(57224)   (Show Source): You can put this solution on YOUR website!An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train. -------------------------- Express DATA: distance = 60 miles ; rate = E mph ; time = 60/E hrs ------------------- Local DATA: distance = 60 miles ; rate = L mph ; time = 60/L hrs -------------------- Equations: E = 2L 60/L - 60/E = 2 ------------------ Substitute to solve for L: 60/L - 60/2L = 2 Multiply thru by 2L to get: 120 - 60 = 4L 60 = 4L L = 15 mph (speed of the local train) E = 2L = 30 mph (speed of the express train) ================================================ Cheers, Stan H.