SOLUTION: The speed of train A is 8mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 270 miles. Find the speed of both trains. T

Question 328438: The speed of train A is 8mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 270 miles. Find the speed of both trains.
Thank you
Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT
TRAIN A: 230=(R-8)T
T=230/(5-8)
TRAIN B: 270=RT
T=270/R
230/(R-8)=270/R CROSS MULTIPLY.
270(R-8)=230R
270R-2,160=230R
270R-230R=2,160
40R=2,160
R=2,160/40
54 MPH FOR TRAIN B.
PROOF:
230/(54-8)=270/54
230/46=270/54
5=5

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You need 2 equations:

and

You are given that , so

Multiply both sides by

and, since

The speed of train A is 46 mi/hr
The speed of train B is 54 mi/hr
check answers:

hrs
and

hrs

OK
RELATED QUESTIONS
The speed of train A is 8mph slower than the speed of train B. Train A travels 230 miles (answered by checkley77)
The speed of train A is 8mph slower than the speed of train B. Train A travels 230 miles... (answered by rfer)
The speed of train A is 12 mph slower than the speed of train B. Train A travels 230... (answered by hamsanash1981@gmail.com)
Train X is 6 mph slower than the speed of train B. Train A travels 230 miles in the same... (answered by josmiceli)
the speed of train a is 6 mph slower than the speed of train b.Train A travels 200 miles (answered by ankor@dixie-net.com)
The speed of train A is 20mph slower than the speed of train B. Train A travels 230 miles (answered by robertb)
Hello The speed of train A is 10mph slower than train B. Train A travels 230 miles in (answered by checkley77)
The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 (answered by drj)
The speed of train A is 16 mph slower than the speed of train B. Train A travels 220... (answered by gonzo)