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?

Respuesta :

Answer:

300 minutes

Step-by-step 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.

[tex]Given = 10 : 40[/tex]

[tex]Required = 75 : x[/tex]

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

[tex]10 : 40 = 75 : x[/tex]

Convert to fractions

[tex]\frac{10}{40} = \frac{75}{x}[/tex]

[tex]\frac{1}{4} = \frac{75}{x}[/tex]

Solve forx

[tex]x * 1 = 75 * 4[/tex]

[tex]x = 300[/tex]