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Home Q & A Board Science-Related Homework Help Mathematics
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rich3529 rich3529
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9 years ago
A train leaves the station at 7:00am traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h At what time will the second train catch up with the first?

Answer 15hrs later or 9pm.

 Please Solve it using a system of linear equations, showing details of how you set up your equations and the steps that you went through for the solution.

Use Polya's Four-Step Method for your analysis.
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#1
9 years ago
lets t is the time traveling for a first  train
the position of 1st train: x1 = v1.t=80t mi because the initial position of 1st train is zero
position of 2nd train: x2=(v2)(t2)=100(t-3)mi because the initial position of 2nd train is zero
at the time the second train catch up with the first train: x1=x2
                                 80t=100(t-3)
                        solve for t:   t=15hrs
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