Question

A woman sprints at a rate of 19 ft/s. How many minutes will it
take her to sprint 600 feet ?

Answer 1

`\begin{array}{ccll} feet&seconds\\ \cline{1-2} 19 & 1\\ 600& x \end{array} \implies \cfrac{19}{600}~~=~~\cfrac{1}{x} \\\\\\ 19x=600\implies x=\cfrac{600}{19}\implies \stackrel{\textit{about half a minute}}{x\approx 31.58~seconds}`

Answer 2

10/19 min ≈ 0.5263 min

Explanation:

The woman's sprinting speed is given in feet per second, and we are asked for it in minutes per 600 feet. To find the time, we can use the relation ...

time = distance / speed

Using the given numbers will give a time in seconds, so we need to do a units conversion to find the answer in minutes.

__

setup

time = distance/speed

time = (600 ft) / (19 ft/s) = (600/19) s

Converting the units gives ...

time = (600/19) s × (1 min)/(60 s) = (600·1)/(19·60) min

evaluation

The time it takes the woman to sprint 600 feet will be ...

time = 600/(19·60) min = 10/19 min ≈ 0.5263 min