SOLUTION: A cheetah running 90 feet per second is 100 feet behind a gazelle running 70 feet per second. How long will it take the cheetah to catch up to the gazelle?
Use the verbal model
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Question 539840: A cheetah running 90 feet per second is 100 feet behind a gazelle running 70 feet per second. How long will it take the cheetah to catch up to the gazelle?
Use the verbal model to write and solve a linear equation.
Speed of Cheetah ` time = 100 + speed of gazelle ` time
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
r*t=d
90*t=100+x
70t=x
90t=70t+100
20t=100
t=5 seconds
after one second the cheetah has gone 90 feet and the gazelle has gone 70 more
now the distance is 80.
So every second the cheetah gains 20 feet
450 feet for the cheetah
350 for the gazelle plus the original 100 feet.
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