It takes 4 lawnmowers to cut 2 acres of grass in 2 hours. If the amount of time varies directly with the amount of grass and inversely with the number of lawnmowers, how many hours will it take 2 lawnmowers to cut 6 acres of grass?

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Question

Summer Dennis

Mathematics

10 February, 07:56

It takes 4 lawnmowers to cut 2 acres of grass in 2 hours. If the amount of time varies directly with the amount of grass and inversely with the number of lawnmowers, how many hours will it take 2 lawnmowers to cut 6 acres of grass?

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Answers (2)

Know the Answer?

Aarav Juarez · Answer 1

Let, L = Lawn Mower and A = Acre and H = Hours

4L = 2A = 2H

2L = 1A = 1H

We want 6A (acres), we know the amount of lawn mowers doesn't change -

If 1 Acre takes 1 Hour, we know 6 Acres will take 6 hours (when their are 2 lawn mowers).

Either i'm missing something or the answers are wrong,

Sariah Hardin · Answer 2

The answer is D-12) I just took the test and got it right

It takes 4 lawnmowers to cut 2 acres of grass in 2 hours. If the amount of time varies directly with the amount of grass and inversely with the number of lawnmowers, how many hours will it take 2 lawnmowers to cut 6 acres of grass?34812

It takes 4 lawnmowers to cut 2 acres of grass in 2 hours. If the amount of time varies directly with the amount of grass and inversely with the number of lawnmowers, how many hours will it take 2 lawnmowers to cut 6 acres of grass?

3

4

8

12