SOLUTION: A northbound train left at noon. Two hours later, a southbound train left the same station. At 6:00 p.m., the two trains were 490 miles apart. Find the rate of each train if the no

Question 61278: A northbound train left at noon. Two hours later, a southbound train left the same station. At 6:00 p.m., the two trains were 490 miles apart. Find the rate of each train if the northbound train traveled 15 miles per hour faster than the southbound train.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
490=(R-15)*6+R*4
490=6R-90+4R
490=10R-90
10R=490+90
10R=580
R=580/10
R=58 MPH FOR 4 HOURS FOR THE SOUTH BOUND TRAIN
THUS THE NORTH BOUND TRAIN WAS TRAVELING
58-15=43 MPH FOR 6 HOURS
PROOF
490=43*6+58*4
490=258+232
490=490
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