Question

You are shoveling snow from the sidewalks around your neighborhood after a big snowstorm. You work at a steady rate, shoveling 10 feet of sidewalk in 40 minutes. 1) At this rate, how many minutes will it take you to shovel 75 feet of sidewalk?

Answer 1

300 minutes

Explanation:

Given

10 feet in 40 minutes

Required

Determine the time to shovel 75 feet

Let the required be represented with x

First, we need to represent the given and required as ratios.

`Given = 10 : 40`

`Required = 75 : x`

Since you work at steady rate, then both ratios are equivalent.

`10 : 40 = 75 : x`

Convert to fractions

`(10)/(40) = (75)/(x)`

`(1)/(4) = (75)/(x)`

Solve forx

`x * 1 = 75 * 4`

`x = 300`