SOLUTION: the sum of the speed of two trains is 719.5 miles per hour if the speed of the first train is 2.5 miles faster than the second train find the speeds of each train

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Question 985243: the sum of the speed of two trains is 719.5 miles per hour if the speed of the first train is 2.5 miles faster than the second train find the speeds of each
train
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the speed of two trains is 719.5 miles per hour
s%5B1%5D%2Bs%5B2%5D=719.5+%28mil%2Fh%29...........eq.1
if the speed of the first train is 2.5 miles faster than the second train, then we have
s%5B1%5D=s%5B2%5D%2B2%28mil%2Fh%29.........substitute in eq.1
s%5B2%5D%2B2%28mil%2Fh%29%2Bs%5B2%5D=719.5+%28mil%2Fh%29.........solve for s%5B2%5D
2s%5B2%5D=719.5+%28mil%2Fh%29-2%28mil%2Fh%29
2s%5B2%5D=717.5+%28mil%2Fh%29
s%5B2%5D=%28717.5%2F2%29+%28mil%2Fh%29
highlight%28s%5B2%5D=358.75%28mil%2Fh%29%29-the speeds of second train
and
s%5B1%5D=s%5B2%5D%2B2%28mil%2Fh%29
s%5B1%5D=358.75%28mil%2Fh%29%2B2%28mil%2Fh%29
highlight%28s%5B1%5D=360.75%28mil%2Fh%29%29-the speeds of first train
check the sum:

s%5B1%5D%2Bs%5B2%5D=719.5+%28mil%2Fh%29
360.75%28mil%2Fh%29%2B358.75%28mil%2Fh%29=719.5+%28mil%2Fh%29
719.5%28mil%2Fh%29=719.5+%28mil%2Fh%29