Posted by lisa on Thursday, November 17, 2011 at 12:55pm.
1. The speed of a passenger trin is 18mph faster than the speed of a freight train. The passenger train travels 260 miles in the same time it takes the feight train to travel 170 miles. Find the speed of each train.

algebra  Henry, Saturday, November 19, 2011 at 4:12pm
Vf = X mi/h.=Velocity of freight train.
Vp = (X + 18)mi/h = Velocity of passenger train.
Eq1: Dp = (X+18)t = 260.
Eq2: Df = Xt = 170,
t = 170/X.
In Eq1, substitute 170/X for t:
(X+18)170/X = 260,
Multiply both sides by X:
170(X+18) = 260x,
170x + 3060 = 260x,
260x  170x = 3060,
90x = 3060,
X = 34 mi/h = Speed of freight train.
X+18 = 34 + 18 = 52 = Speed of passenger train.
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