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:

$2\frac{3}{4}=2+\frac{3}{4}=\frac{8+3}{4}=\frac{11}{3}$

then, calculate the speed:

$v=\frac{55}{\frac{11}{3}}=\frac{\frac{55}{1}}{\frac{11}{3}}=\frac{55\cdot3}{11\cdot1}=\frac{165}{11}=15$

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