Posted by amy on Thursday, September 16, 2010 at 12:42am.
A metra commuter train leaves Union Station in Chicago at 12 noon. Twp hours later an Amtrak train leaves on the same track, traveling at an average speed that is 50 miles per hour faster than the Metra train. At 3PM the Amtrak train is 10 miles behind the commuter train. How fast is each going?
I don't understand how to solve this.
I only know how to solve it if the problem has the velocity for both.
Please could someone write the equation

Math Word Problem  Dr Russ, Thursday, September 16, 2010 at 4:25am
let A = speed of Amtrak train
let M=speed of Metro train
so we can write A=M+50
as A is travelling 50 mph faster than M
as there are two unknowns we need another equation
at 3pm distance travelled by A is Ax1 or 1A miles
at 3pm distance travelled by M is Mx3 miles
but A is 10 miles behind M so
3M10=1A
we now have two equations so we can solve these for A and M.

Math Word Problem  A, Thursday, September 16, 2010 at 5:05am
I solved it got the right answer but what about the 2hours part?
Answer This Question
Related Questions
 Algebra 2 (Distance Problem)  A train leaves Union Station for Central Station...
 Algebra  A train leaves the station at 8 a.m. and averages 40 miles per hour ...
 math  Train leaves a stationa traveling at 60 miles per hour. Eight hours later...
 Algebra  A train leaves the station at 8 a.m. and averages 40 miles per hour ...
 pre algebra  train A leaves a station at 1:15 PM,traveling 60 mph.Train B ...
 Mathematics  A train leaves station x and travels east at 30 kph. Two hours ...
 mathword problem PLEASE CHECK MY ANSWER  Train A and B are traveling in the ...
 Math  Train A and train B leave station going in opposite directions. Train B ...
 mathword problemplease help  Train A and B are traveling in the same ...
 mathword problem  Train A and B are traveling in the same direction on ...
More Related Questions