I'm home schooled I take VERY high math for my age...and I can't figure out this problem....
A Southbound train travels for 2 hours and meets a northbound train that has been traveling for 4 hours.The trains started from cities 350 miles apart.What is the speed of each train if the northbound train travels 10mph slower than the southbound?
Its Algebra 1 I'm in 5th grade....no one in my house can figure it out...so can you help?
2007-02-09 07:25:20 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
i have no idea why you prefaced your question with the high math schtick. algebra 1 is 6th grade stuff. anyway...
i think you set up an equation like this:
2x+4(x-10)=350
then you distribute the 4, so:
2x+4x-40=350
then you re-arrange and combine like terms:
6x=390
isolate the x:
x=65
now, being the bright 5th grader that you are, you should have figured out that x is the speed of the southbound train, and x-10 is that of the northbound train.
REMEMBER YOUR UNITS!!!
hope it helps, and sorry if im wrong..my arithmetic is awful and my calc teacher is currently banning us from using calculators, and i kinda lost mine.
2007-02-09 07:41:46 · answer #1 · answered by millie 3 · 1⤊ 0⤋
Let's say that the Southbound train travels X mph. In this case, the northbound train travels X-10 MPH. The southbound train has traveled 2X miles after two hours, and the northbound train has been travelling for 4(X-10) hours. The sum of their total distance is 350 miles, because that is the total distance that they have travelled together. Once you get that problem set up, you can solve for X to find the speed of each train. :-)
2007-02-09 15:34:30 · answer #2 · answered by kathy 4 · 1⤊ 0⤋
ok first we have to figure out how far each train travelled. We know that it took the Southbound train (Train S from here on) 2 hours to meet the northbound train (Train N). Train N took twice as long, so Train S must have been going twice as fast. If train S went twice as fast and was 10 mph faster than Train N, then Train N must have gone 10 mph as Train S went 20 mph
2007-02-09 15:45:21 · answer #3 · answered by americanmimeboy 4 · 0⤊ 0⤋
http://mathforum.org/dr.math/faq/faq.two.trains.html
The Two Trains
How Many Trains Meet?
Man Crossing a Bridge
Man and Train on a Bridge
Man on a Railroad Bridge
Running in Opposite Directions
Speed of Two Trains
Train B Overtakes Train A
Train Overtaking Another Train
Train and Tunnel
2007-02-09 15:30:06 · answer #4 · answered by god knows and sees else Yahoo 6 · 1⤊ 0⤋