SOLUTION: Two trains made the same 350-mile run. Since one train traveled 15 mph faster than the other, it arrived 3 hours earlier. Find the speed of each train. This is how I set it up,

Algebra.Com
Question 521595: Two trains made the same 350-mile run. Since one train traveled 15 mph faster than the other, it arrived 3 hours earlier. Find the speed of each train.
This is how I set it up, but I'm lost after that
350/x +3= 350/x-15

Answer by umnikmo(75)   (Show Source): You can put this solution on YOUR website!
V1=V2+15
t1=350/V1=350/(V2+15)
t2=350/V2
t1+3=t2
350/(V2+15)+3=350/V2
multiplying everything by (V2+15)V2
350V2+3V2^2+45V2=350V2+5250
3V2^2+45V2^2-5250=0
Solution is : V2=35mph
V1=35+15=50mph

RELATED QUESTIONS

Two trains made the same 360-mile run. Since one train traveled 15 mph faster than the... (answered by josgarithmetic)
Two trains made the same 360-mile run. Since one train traveled 10 mph faster than the... (answered by ikleyn,Boreal)
Two trains made the same 315-mile run. Since one train traveled 10 mph faster than the... (answered by josgarithmetic)
Two trains made the same 315-mile run. Since one train traveled 10 mph faster than the... (answered by lwsshak3)
Two trains made the same 150-mile run. Since one train traveled 20 mph faster than the... (answered by ikleyn)
Finding rates Two trains made the same 315-mile run. Since one train traveled 10mph... (answered by dkppathak)
Two trains made the same 315-mile trip. Since one train traveled 10 mph faster than the... (answered by richwmiller)
Two trains make the same 225 mph run. Since one train travels 20 mph faster than the... (answered by Alan3354)
Two motorcycles made the same 315 mile drive. One motorcycle traveled 10 mph faster than... (answered by Alan3354)