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

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.

$Given = 10 : 40$

$Required = 75 : x$

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

$10 : 40 = 75 : x$

Convert to fractions

$\frac{10}{40} = \frac{75}{x}$

$\frac{1}{4} = \frac{75}{x}$

Solve forx

$x * 1 = 75 * 4$

$x = 300$