SOLUTION: A train travels 80 mi in the same time that a light plane can travel 280 mi. If the speed of the plane is 100 mi/h faster than that of the train, find each of the rates.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A train travels 80 mi in the same time that a light plane can travel 280 mi. If the speed of the plane is 100 mi/h faster than that of the train, find each of the rates.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 964014: A train travels 80 mi in the same time that a light plane can travel 280 mi. If the speed of the plane is 100 mi/h faster than that of the train, find each of the rates.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
________________rate____________time____________distance
train___________r________________t_______________U
plane___________r+k______________t_______________V

RT=D rate time distance relationship for rate, time, distance, uniform travel rates rule.

KNOWN:
U=80
V=280
k=100
UNKNOWN:
r, t.

system%28rt=U%2C%28r%2Bk%29t=V%29

t=U%2Fr
-
r%2Bk=V%2Ft
r%2Bk=V%2F%28U%2Fr%29
r%2Bk=Vr%2FU
highlight%28r=Vr%2FU-k%29------solution formula for r, the rate for the train.
-
Substitute the given values to evaluate r.