SOLUTION: Artie the Ant walked directly from the very bottom to the very top of a 108 foot tall tree and directly back down. Artie walked up the tree at a rate of 1.5 feet per minute and dow

Algebra ->  Average -> SOLUTION: Artie the Ant walked directly from the very bottom to the very top of a 108 foot tall tree and directly back down. Artie walked up the tree at a rate of 1.5 feet per minute and dow      Log On


   

Question 1042630: Artie the Ant walked directly from the very bottom to the very top of a 108 foot tall tree and directly back down. Artie walked up the tree at a rate of 1.5 feet per minute and down the tree at a rate of 2.25 feet per minute. How many minutes did the round trip take?
Answer: 120 minutes (How?)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Artie walked up the tree at a rate of 1.5 feet per minute", so r = 1.5
The tree is 108 ft tall, so d = 108

D = r*t
108 = 1.5*t
108/1.5 = (1.5*t)/1.5
72 = t
t = 72

It took Artie 72 minutes to go up the tree

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"Artie walked...down the tree at a rate of 2.25 feet per minute", so r = 2.25
D = 108 is the distance from the top to the bottom of the tree

D = r*t
108 = 2.25*t
108/2.25 = (2.25*t)/2.25
48 = t
t = 48

It took Artie 48 minutes to go down the tree

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In total, the ant traveled for 72+48 = 120 minutes