Respuesta :
Answer:
[tex]\frac{8}{21}[/tex] fraction of the lawn has been covered in 1 hour.
Step-by-step explanation:
Given the statement: if it takes [tex]\frac{3}{4}[/tex] of an hour for an automated sprinkler to cover [tex]\frac{2}{7}[/tex] of lawn.
which implies,
[tex]\frac{3}{4}[/tex] hour cover [tex]\frac{2}{7}[/tex] of lawn
then,
in 1 hour cover [tex]\frac{\frac{2}{7} }{\frac{3}{4}} \times 1[/tex]
[Using [tex]\frac{\frac{a}{b} }{\frac{c}{d} } =\frac{a}{b} \times \frac{d}{c}[/tex] ]
= [tex]\frac{2}{7} \times \frac{4}{3} = \frac{2 \times 4}{7 \times 3} =\frac{8}{21}[/tex]
therefore, after an hour has passed [tex]\frac{8}{21}[/tex] of the lawn has been covered.
Answer: [tex]\frac{8}{21}[/tex] of lawn has been covered after an hour.
Step-by-step explanation:
Since we have given that
Time taken by Automated Sprinkler is given by
[tex]\frac{3}{4}\text{ of an hour}[/tex]
Part of lawn she covered is given by
[tex]\frac{2}{7}\text{ of a lawn}[/tex]
We will use " Unitary Method" i.e.
After 1 hour, the part of lawn is covered is given by
[tex]\frac{2}{7}\times \frac{4}{3}\\\\=\frac{8}{21}[/tex]
Hence, [tex]\frac{8}{21}[/tex] of lawn has been covered after an hour.
