Question

15 persons can harvest 5 fields in 10 days if all work at same rate then how many fields can 5 persons cna harvest

Answer 1

Step-by-step explanation:

1.666 (approximately) field

Answer 2

Given:

The number of persons that can harvest $5$ fields in $10$ days is $15$.

To find:

How many number of fields $5$ persons can harvest in $10$ days.

Step by step explanation:

• We know that $15$ persons can harvest $5$ fields in $10$ days.
• If they all work at the same rate then $5$ person can harvest $x$ number of fields.
• Let us assume the number of fields that $5$ persons can harvest in $10$ days as $x$.
• In order to find the value of $x$ we need to frame a equation with the given information.
• The equation is,

        $\frac{15}{5}=\frac{5}{x}$

• This equation explains that $15$ persons can harvest $5$ fields in $10$ days then how many fields can $5$ persons harvest if they work at the same rate in $10$ days.
• By cross multiplying the above equation we get,

        $(15)(x)=(5)(5)$

• Solve the RHS of the equation,

        $(5)(5)=25$

• Thus the equation becomes,

        $(15)(x)=25$

• Now take $15$ to the RHS of the equation in order to find the value of $x$.

       $x=\frac{25}{15}$

• By solving the above equation we get the value of $x$ as $x=1.666$.
• Thus $5$ persons can harvest $1.666$ fields approximately.

Final answer:

If $5$ persons work at the same rate then they can harvest $1.666$ fields approximately in $10$ days.