# algebra

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The speed of a passenger train is 16 mph faster than the speed
of a freight train. The passenger train travles 300 miles in
the same time it takes the freight train to travel 220 miles.
find the speed of each train

• algebra -

speed of freight --- x mph
speed of passenger --- x+16 mph

freight can go 220 miles in 220/x hours
pass. can go 300 miles in 300/(x+16) hrs

but those times are the same ....
220/x = 300/(x+16)
cross-multiply
300x = 220x + 3520
80x = 3520
x = 44

the freight goes 44 mph and the passenger train goes 60 mph

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