Question

Nyesha owns a lawn service company. Currently it takes her 50 hours a week to service all of her

Answer 1

Fractions are integers that have both a numerator and a denominator. They are represented as;  $\frac{x}{y}$

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  $27\frac{3}{11}$  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = $27\frac{3}{11}$ hours

Therefore, it will take them both of them $27\frac{3}{11}$ hours in they both work together.

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