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Ann and Ben translate documents from German into English. A set of documents that would take Ann 10 days would take Ben 12 days. Ann starts to translate the documents. After 2 days Ann and Ben both work on translating the documents. How many more days will it take to complete the work? You must show your working. Answer: ​

Respuesta :

Using the together rate, it will take more 3.45 days to complete the work.

What is the together rate?

The together rate is given by the sum of each separate rate.

For this problem, the rates are given as follows:

  • Ann: 1/10 = 0.1.
  • Ben: 1/12 = 0.0833.
  • Together: 1/x.

Hence the amount completed in 2 days is:

2 x (0.1 + 0.0833) = 0.3666.

The amount it would take them to complete 100% of the project working together is found by the together rate as follows:

[tex]\frac{1}{x} = \frac{1}{10} + \frac{1}{12}[/tex]

[tex]\frac{1}{x} = \frac{6 + 5}{60}[/tex]

x = 60/11

x = 5.45 days.

The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is:

0.6334 x 5.45 = 3.45 days.

It will take more 3.45 days to complete the work.

More can be learned about the together rate at https://brainly.com/question/28026918

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