Homework Help: algebra

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.

Answer this Question

Related Questions

algebra 1b - the speed of a passenger train is 18mph faster than the speed of a ...
algebra - The speed of a passenger train is 18mph faster than the speed of a ...
Algebra - Speed of passenger train is 6mph faster than the freight train. The ...
algebra - the speed of a passenger train is 20mph faster than the speed of a ...
MATH Algebra - The speed of a passenger train is 6 mph faster than the speed of ...
algebra - The speed of a passenger train is 16 mph faster than the speed of a ...
Algebra - The speed of a passenger train is 20 mph faster than the speed of a ...
Math - The The speed of a passenger train is 12 mph faster then the speed of a ...
algebra - a passenger train's speed is 60mi/h, and a freight train's ...
math,correction - Problem #1 Number problem. If one-half of one integer is ...

For Further Reading

First Name:
School Subject:
Answer: