Question

a farmer harvests crops on 2/5 acre of land in 1/3 hour.
At what rate, in acres per hour, does the farmer harvest crops?
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Answer 1

Find out how much per hour, multiply 2/5 by 3

2/5 * 3/1 = 6/5
The farm harvests 1 1/5 acres per hour

Answer 2

A fraction is a way to describe a part of a whole.  The rate at which the farmer is harvesting his crop is 1.2 Acres/hour.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that the farmer can harvest 2/5 acre of the land in 1/3 hours, therefore, the area in which the farmer can harvest crops in 1 hour will be thrice 2/5.

$\rm Rate\ of\ harvesting = \dfrac{\text{Total land harvested}}{\text{Total time taken by the farmer}}\\\\\\\rm Rate\ of\ harvesting = \dfrac{\frac25}{\frac13} = \dfrac{2 \times 3}{1 \times 5}\\\\\\\rm Rate\ of\ harvesting = \dfrac{6}{5}\ Acres/hour = 1.2 \ Acres/hour$

Hence, the rate at which the farmer is harvesting his crop is 1.2 Acres/hour.

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