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]