SOLUTION: This is a problem from the Jubilee Academy's online homeschooling website, which I am enrolled in. A freight train leaves a station traveling a constant speed of 30 miles per ho

Question 198139: This is a problem from the Jubilee Academy's online homeschooling website, which I am enrolled in.
A freight train leaves a station traveling a constant speed of 30 miles per hour (mph). A passenger train leaves at the same time and travels in the same direction at a constant speed of 35 mph. In how many hours will the trains be 15 miles apart?
I would be able to do this problem easily if i knew how to set up the equation, which is for me the hardest part, but there were no similar solvers in the travel and distance section. Thank you.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Remember that x = Vt,,, where x is distance, V is velocity, and t is time
.
delta x = V2t2 - V1t1
.
but t1 = t2
.
delta x = (v2-v1) t
.
15 mi = ( 35 -30 ) mph * t
.
15 = 5 t
.
t=3 hrs
.
check
.
V2 = 35 *3 = 105 miles
.
V1 = 30 * 3 = 90
.
v2 -v1 =15 ok
RELATED QUESTIONS
I am unable to disyfer out the decimal on this problem. Do I need to turn it into a... (answered by ankor@dixie-net.com)

Here is a distance word problem that I don't understand, here goes: "A freight train (answered by josgarithmetic)

Hi! I would like some help to solve this problem: A passenger train traveling at 50... (answered by mananth,ghjg)

A passenger train leaves a train station on schedule. A freight train had departed from... (answered by Theo,greenestamps,MathTherapy)

An express train leaves Grand Central Station 1 h after a freight train leaves the same... (answered by ankor@dixie-net.com)

Hello, I go to the Moring Star Online Homeschooling Academy. And need sever... (answered by scott8148)

an express train leaves grand central station 1 hour after a freight train leaves the... (answered by mananth)

Hello Tutor I am having problems with this word problem if I could get some help. A... (answered by 303795)

A passenger train leaves the train depot 2hours after freight train left the same... (answered by josgarithmetic)