SOLUTION: stacey travels 3 times faster than Gloria. Traveling in opposite directions, they are 420 miles apart after 5 hours. Find their rates of trale. Stacey speed_____mph,Gloria speed__

Algebra ->  Rate-of-work-word-problems -> SOLUTION: stacey travels 3 times faster than Gloria. Traveling in opposite directions, they are 420 miles apart after 5 hours. Find their rates of trale. Stacey speed_____mph,Gloria speed__      Log On


   



Question 317971: stacey travels 3 times faster than Gloria. Traveling in opposite directions, they are 420 miles apart after 5 hours. Find their rates of trale.
Stacey speed_____mph,Gloria speed___mph

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let Gloria's speed = s
Then Stacey's speed will be 3s
If they are going in opposite directions,
just add their speeds
given:
t+=+5 hrs
d+=+420 mi
420+=+%28s+%2B+3s%29%2A5
420+=+20s
s+=+21 mi/hr
and
3s+=+3%2A21
3s+=+63 mi/hr
Stacey's speed is 63 mi/hr and
Gloria's speed is 21 mi/hr
check:
s+%2B+3s+=+21+%2B+63
s+%2B+3s+=+84
420+=+84%2A5
420+=+420
OK