SOLUTION: Manuel traveled 8 hours nonstop to Mexico, a total of 413 miles. He took a train part of the way, which averaged 60 mph, and then took a bus the remaining distance, which averaged

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Question 762232: Manuel traveled 8 hours nonstop to Mexico, a total of 413 miles. He took a train part of the way, which averaged 60 mph, and then took a bus the remaining distance, which averaged 50 mph. How long was Manuel on the train?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=time on train
Let y=time on bus

Vehicle________rate__________time__________distance
Train__________60____________x_____________60x
Bus____________50____________y_____________50y
Total________________________8_____________413

System to solve:
{60x+50y=413}
and
{x+y=8}

Best approach is multiply the second equation by 50 and subtract it all from the first equation to solve for x....