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after working together for T hours on a common task, two workers have completed fractional parts of the job equal to T/4 and T/6. What fractional part of the task has been completed?

Respuesta :

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Adding the two fractions, we get:
[tex]\frac{T}{4}+\frac{T}{6}=\frac{3T+2T}{12}=\frac{5}{12}T[/tex]
Therefore (5/12)T of the job has been completed.

The time taken to complete the task is 5T/12.

Given that

After working together for T hours on a common task, two workers have completed fractional parts of the job equal to T/4 and T/6.

We have to find

What fractional part of the task has been completed?

According to the question

The first worker who took time to complete his work is T/4.

And the second worker who took time to complete his work is T/6.

The total time is taken to complete the work be T.

Then,

The total time taken to complete the work is equal to The first worker who took time to complete his work and the second worker who took time to complete his work.

[tex]\rm T = \dfrac{T}{4} + \dfrac{T}{6}\\\\T = \dfrac{3T+2T}{12}\\\\T = \dfrac{5T}{12}[/tex]

Hence, The time taken to complete the task is 5T/12.

To know more about Fractions click the link given below.

https://brainly.com/question/14528220

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