Question

Emmanuel added 888 links per minute to his chain mail. Allesia started 202020 minutes after Emmanuel and added 131313 links per minute to her chain mail. How long had Emmanuel worked when Allesia caught up to him, and how many links had he added?

Answer 1

4 months 20 days and 7 hours

179,393,760 links

Explanation:

The attachment provided will provide the necessary explanations

Answer 2

1: 52 minutes

2: 416 links

Explanation:

(Supposing that the right numbers are 8, 20 and 13:)

After 20 minutes, Emmanuel had added 8*20 = 160 links

The number of links Emmanuel added in instant 't' is equal to 160+8*t, with t in minutes being the time counted when Allesia started to add links.

The number of links Allesia added in instant 't' is equal to 13*t

To know the moment when they have the same number of links, we just have to make both equations equal:

160 + 8*t = 13*t -> 5*t = 160 -> t = 32 minutes

As Emmanuel started 20 minutes earlier, he worked 52 minutes when Allesia caught up to him.

The number of links he added is 160+8*(32) = 416 links