Can anyone solve this problem???


One person can complete a typing project in 6 hours, and another can complete the same project in 8 hours. How long will it take the two people working together to complete the project???

Respuesta :

1/8x+1/6x = 1
3/24x + 4/24x = 1
7/24x = 1
x = 24/7 hours 

Time taken to complete the project if two people worked together is required.

It would taken around 3.4 hours to complete the project if both the people worked together

Time taken to complete the work by first person is 6 hours

Time taken to complete the work by second person is 8 hours

The work equation will be be

[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]

So, it would taken around 3.4 hours to complete the project if both the people worked together.

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