Question

kelly can paint her father's shed in five hours, working alone. working together, she and her sister sharon can complete the task in t hours. in terms of t, how many hours would it take for sharon to complete this task?

Answer 1

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

What does a math expression mean?

At least two numbers as well as variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. With the help of this mathematical operation, you can multiply, divide, add, or subtract. A sentence has the following structure: (Number or Variable, Math Operator, Number or Variable) is an expression.

How does a term come to mind?

The evaluation of each algebraic expression requires the substitution of one integer for each variable and the execution of the arithmetic operations. The variable x in the preceding example has the value of 6 since 6 plus 6 = 12. Our variables' values can be substituted for the original variables if we are aware of them, allowing us to evaluate the expression with those values instead of the original ones.

According to the given information:

Let S be the number of hours it would take Sharon to paint the shed alone.

Kelly alone can paint the shed in T hours,

so she can paint (1/T) of a shed per hour.

Sharon alone can paint (1/S) shed per hour, so, working together.

They can Paint:

(1/T)+(1/S)

it takes them five hours to paint the shed together, they can paint (1/5) shed per hour.

$\frac{1}{S}+\frac{1}{T}=\frac{1}{5}$

$\frac{1}{S}+\frac{1}{T}-\frac{1}{T}\\\\=\frac{1}{5}-\frac{1}{T}$

After simplifying this we get:

(T - 5)/5T

the reciprocal of both expressions:

S = 5T/(T - 5)

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

To know more about arithmetic operation visit:

brainly.com/question/25834626

#SPJ1