SOLUTION: Alice travels 4 times faster than Brenda. Traveling in opposite directions, they are 450 miles apart after 4.5 hours. Find their rates of travel

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Question 968988: Alice travels 4 times faster than Brenda. Traveling in opposite directions, they are 450 miles apart after 4.5 hours. Find their rates of travel
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
Let Brenda's speed be x.
Alicia's speed is 4x.
Distance=Speed*Time
Distance traveled by Brenda=4.5x
Distance traveled by Alicia=4.5(4x)
Total distance=450 miles
4.5x+4.5(4x)=450
4.5(5x)=450
5x=100
x=20 miles/hour.
Brenda's speed is 20 miles/hour.
Alicia's speed is 80 miles/hour.