Question

Q 06. Payson is thrice as fast as Amen at completing a task. They both pick up a task together, and complete it in 5 days. How many days will Amen take to do it alone? Ops: A. O 10 days B. O 20 days C. O 25 days D. O 15 days
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Answer 1

Fraction are ratio of two integers. It will take Amen 20 days to do the task alone

Proporions and fractions

From the given question, we have the following information

Let the number of days Amen can take to complete a task be x

If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x

If they both pick up a task together, and complete it in 5 days, then;

1/x + 1/3x = 1/5

Find the LCM
3+1/3x = 1/5

4/3x = 1/5

Cross multiply

3x = 20

Determine the time taken by Amen:

x =20/3

This shows that it will take Amen 20 days to do the task alone

Learn more on proportions here: brainly.com/question/19994681