SOLUTION: I'm very bad at word problems and this one seems to make me more confused!! Train A leaves depot A and travels to depot C 400 miles away and Train B leaves depot B one hr later

Algebra.Com
Question 19770: I'm very bad at word problems and this one seems to make me more confused!!
Train A leaves depot A and travels to depot C 400 miles away and Train B leaves depot B one hr later and travels 150 miles to depot C. If Train A is travelling 10mph faster than train B and they arrive at depot C at the same time, how fast was each train travelling?
Thank you sooo much!!!!
I got this far but that's not really an equation: A=400miles(10+b) B=150miles(A-60min)

Found 2 solutions by Paul, wuwei96815:
Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!
Train A leaves depot A and travels to depot C 400 miles away and Train B leaves depot B one hr later and travels 150 miles to depot C. If Train A is travelling 10mph faster than train B and they arrive at depot C at the same time, how fast was each train travelling?
DEPOT A TO B = 250miles
DEPOT A TO C = 400miles
DEPOT B TO C = 150miles
TOTAL = 800miles Train a = 400+10x Train b=150+(x+1)
400+10(x+1)+150=800
400+10x+10+150=800
10x+560=800
10x=240

x=24 One of the train is travelling at 24 miles per hour
and the other is travelling at 34mph






Answer by wuwei96815(245)   (Show Source): You can put this solution on YOUR website!
Was this problem copied correctly? The answers that I get don't make a whole lot of sense.

Train A
distance = speed x times
distance = 16.4mph x 24.4hours = 400.2 miles

Train B
distance = speed x times
distance = 6.4mph x 23.4hours = 149.8 miles

RELATED QUESTIONS

a freight train leaves the depot traveling at 11mph. A second freight train leaves the... (answered by Fombitz)
Alice travels from the train station to the bus depot at a speed of 20 km/hr starting at... (answered by lwsshak3)
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)
Can you please help me with this problem. I am totally confused when it comes to D=RT... (answered by scott8148)
A partially disabled M-1 Abrams Tank is headed for an emergency depot base 141 km away. (answered by josmiceli)
A car leaves a train depot at 1:00pm and travels at 60mph. A train leaves the same... (answered by oberobic)
14 more than two times Johnny's age is the same as 6 less than three times his age. What... (answered by richwmiller)
Unable to set up following question: a passenger train leaves a train depot 3 hours after (answered by KMST)
train leaves a depot traveling one mile per hour. Every mile that the train travels, it... (answered by ikleyn)