Question 338746
speed of freight train = x mph
speed of passenger train = x+10 mph.
..
distance traveled by freight train = 290
distance passenger train = 340 miles
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time taken freight train = 290/x
time taken passenger train = 340/x+10
...
Both times are same
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{{{290/x = 340/(x+10)}}}
{{{290(x+10)= 340x}}}
290x+2900 = 340x
add -290x
290x-290x+2900=340x-290x
50x=2900
divide by 50
x=2900/50
x= 58 mph speed of freight train
speed of passenger train = x+10 = 58+10 = 68 mph