SOLUTION: the sum of the speeds of two trains is 720.4 miles per hour if the speed of the first train is 5.6 mph faster than the speed of the second train find the speed of each train train

Question 987675: the sum of the speeds of two trains is 720.4 miles per hour if the speed of the first train is 5.6 mph faster than the speed of the second train find the speed of each train
train 1
train 2
Found 2 solutions by solver91311, macston:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=speed of slower train; F=speed of faster train=S+5.6mph
.
S+F=720.4mph
S+S+5.6mph=720.4mph
2S=714.8mph
S=357.4
ANSWER 1: The speed of the slower train was 357.4 mph.
.
F=S+5.6mph
F=357.4mph+5.6mph=363mph
ANSWER 2: the speed of the faster train was 363 mph.
.
CHECK:
S+F=720.4mph
357.4mph+363mph=720.4mph
720.4mph=720.4mph

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