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Arielle is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 2 3/4 minutes. If she continues at this rate, where will Arielle be in relation to the rim after 15 minutes

User Vusak
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1 Answer

5 votes

First, determine the speed of Arielle by calculating the quotient in between 55 ft and 2 3/4 minutes. To find the quotient, convert the mixed number to a normal fraction before:


2(3)/(4)=2+(3)/(4)=(8+3)/(4)=(11)/(3)

then, calculate the speed:


v=(55)/((11)/(3))=((55)/(1))/((11)/(3))=(55\cdot3)/(11\cdot1)=(165)/(11)=15

then, the Arielle's speed is 15 ft/min

next, find the distance traveled by Arielle in 15 min, by using the previous result:


d=v\cdot t=(15ft/\min )(15\min )=225ft

Hence, in relation to the rim, Arielle will be at 225 ft

User Graham Streich
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