SOLUTION: Two trains are 440 miles apart, and their speeds differ by 12 mph. Find the speed of each train if they are traveling toward each other and will meet in 4 hours.
Thank you
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Question 976403: Two trains are 440 miles apart, and their speeds differ by 12 mph. Find the speed of each train if they are traveling toward each other and will meet in 4 hours.
Thank you
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Let one of the trains have the speed of r.
RT=D is how rate, time, distance are related for uniform travel rates.
__________________rate___________time_________distance
__________________r______________4_____________(____)
__________________r+12___________4_____________(____)
Total__________________________________________440
Fill the missing cells, form the necessary equation, and solve.
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
Let x be the speed of faster train (mi/h), and y be the speed of the other train (mi/h). Then you have the system of two linear equations in two unknowns
= = ,
= .
To solve the system, first add both equations. You will get
= = .
Hence, = = .
Now, substitute the found value of x into the first equation. You will get
= .
Hence, = = .
Answer. The speed of the faster train is 61 . The speed of the other train is 49 .
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