Question

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

Answer 1

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