Together they can complete the whole job in 6 minutes.
The amount of work done by the slowest person is [tex]\frac{x}{15}[/tex].
What is time, work done, and rate formula?
The time, work and rate formula is given by
Work done = time × rate of wok
According to the given question.
One person can do a certain job is 10 minutes.
⇒ The work done in 1 minute by the first person or the rate of work done by the first person = [tex]\frac{1}{10}[/tex]
Another person can do the same job in 15 minutes.
⇒ The work done in 15 minutes by another person or the rate of work done by the second person = [tex]\frac{1}{15}[/tex]
So,
The amount of work done by both of them in one minute
= [tex]\frac{1}{10} + \frac{1}{15} =\frac{1}{6}[/tex]
⇒ Together they can complete the [tex]\frac{1}{6}[/tex]th part of the work in one minute.
Therefore, together they can complete the whole job in 6 minutes.
As, we know that
Work done = Total time taken × Rate of work done
Since, the second person is taking 15 minutes to complete the jo.
So, he is the slowest person.
Total time total time taken by the two persons to complete the job together is x (given).
Also, the rate of work done by the slowest person = [tex]\frac{1}{15}[/tex]
Therefore,
The amount of work done by the slowest person = [tex]x (\frac{1}{15} )[/tex]
Hence, the amount of work done by the slowest person is [tex]\frac{x}{15}[/tex].
Find out more information about the work rate here:
https://brainly.com/question/14305692
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