SOLUTION: A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an amtrak train leaves on the same track, traveling at an average speed that is 50 mph faster th

Question 168359: A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an amtrak train leaves on the same track, traveling at an average speed that is 50 mph faster that the metra train. At 3 pm, the amtrak train is 10 miles behind the commuter train. How fast is each going?
And how did i conclude this answer?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT
FOR THE METRA D=R*3
FOR THE AMTRAX D-10=(R+50)*1
R3=R+50+10
3R-R=60
2R=60
R=60/2
R=30 MPH FOR THE MATRA TRAIN.
30+50=80 MPH FOR THE AMTRAX TRAIN.
PROOF:
3*30=30+50+10
90=90

RELATED QUESTIONS
A metra commuter train leaves union station in chicago at 12 noon. Two hours later, an... (answered by ankor@dixie-net.com)

Hi, I have been working on this problem all day, and still can't figure it out. I would... (answered by checkley75)

A metra commuter train leaves union station at noon. 2 hour later , an Amtrak train... (answered by stanbon)

An Amtrak train leaves Penn Station, NYC, traveling south at 60mph. Three hours later, a... (answered by checkley77)

Train A leaves the station traveling at noon traveling 30 mph. Train B leaves the same... (answered by jorel1380)

A train leaves Union Station for Central Station, 216 km away, at 9 a.m. One hour later,... (answered by josgarithmetic)

At 7:00 am a loaded freight train leaves Pittsburgh at 25 mph. At 11:00 am, an amtrak... (answered by lwsshak3)

A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours... (answered by stanbon)

A train leaves station Y and travels west at 75kph. Two hours later, a second train... (answered by ewatrrr)