Problema Solution

Suppose that the time it takes to shovel snow from a driveway varies directly with the area of the driveway and inversely with the square root of the number of workers. If it takes 4 workers 45 minutes to shovel an area of 450ft^2, how long will it take 3 workers to shovel an area of 500ft^2? Round answer to the nearest tenth of a minute

Answer provided by our tutors

let 'x' represent the time 3 workers need to shovel an area of 500ft^2:


(45/450)* square root of 4 = (x/500)* square root of 3


by solving we find:


x = 57.7 min


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3 workers will need 57.7 minutes to shovel an area of 500ft^2.