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 ≡ \(\frac{2}{5} *\frac{4}{3}\)
1-hour ≡ \(\frac{8}{15}\) acre
So, Derek can cover \(\frac{8}{15}\) acre per hour.
Hence, the area that can be covered with grass seed by Derek is 8/15 acres.
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