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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



Question 328436: 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

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
TRAIN A: 230=(R-8)T
T=230/(R-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