Respuesta :

  Number of acres / Time taken

  (2/5)  acre  / (3/4) hour

  = 2/5  ×  4/3 = 8/15  acre / hour

The area that can be covered with grass seed by Derek is 8/15 acres.

Time spent while applying grass seed to 2/5 acre = 3/4 hour

Or, 3/4 hour is needed to apply grass seed to 2/5 acre.

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

3/4 hour ≡  2/5 acre

1-hour ≡ (2/5)/(3/4) acre

1-hour ≡ [tex]\frac{2}{5} *\frac{4}{3}[/tex]

1-hour ≡ [tex]\frac{8}{15}[/tex] acre

So, Derek can cover [tex]\frac{8}{15}[/tex] acre per hour.

Hence, the area that can be covered with grass seed by Derek is 8/15 acres.

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