Question

if it takes 3/4 of an hour for an automated sprinkler to cover 2/7 of a lawn after an hour has passed what fraction of the lawn has been convered

Answer 1

Answer:
`(8)/(21)` of lawn has been covered after an hour.

Explanation:

Since we have given that

Time taken by Automated Sprinkler is given by

`(3)/(4)\text{ of an hour}`

Part of lawn she covered is given by

`(2)/(7)\text{ of a lawn}`

We will use " Unitary Method" i.e.

After 1 hour, the part of lawn is covered is given by

`(2)/(7)* (4)/(3)\\\\=(8)/(21)`

Hence,
`(8)/(21)` of lawn has been covered after an hour.

Answer 2

`(8)/(21)` fraction of the lawn has been covered in 1 hour.

Explanation:

Given the statement: if it takes
`(3)/(4)` of an hour for an automated sprinkler to cover
`(2)/(7)` of lawn.

which implies,

`(3)/(4)` hour cover
`(2)/(7)` of lawn

then,

in 1 hour cover
`((2)/(7) )/((3)/(4)) * 1`

[Using
`((a)/(b) )/((c)/(d) ) =(a)/(b) * (d)/(c)` ]

=
`(2)/(7) * (4)/(3) = (2 * 4)/(7 * 3) =(8)/(21)`

therefore, after an hour has passed
`(8)/(21)` of the lawn has been covered.