[Rails] how long does it take?

I was given this project as a part of an interviewing process. Ok, I'm
not asking how to implement it but how long it takes.

How long does it take to implement the following application?
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Implement an online_store with 2 types of users:

1. Customer: logs in and sees a page with products, each includes name
and price. They select any number of those products and add them to the
shopping cart. They go to their shopping cart and are able to check out
unless there is 0 items in the cart. No credit card processing required,
but the order should be saved. After that, they go back to the product
page, now it contains a link to their order status. After they click on
this link, they see a summary of their orders.

2. Admin: logs in and sees a link to the store statistics. After they
click on this link, they see a table of all the products sold, including
total counts and total money. They are able to sort the statistics chart
by any of the columns.

The project already has basic user authentication and the
registration/login pages, but nothing else. But it requires testing for
the authentication as well.

It should include testing (Cucumber/rspec/unit test), validation if
needed and efficient queries. It doesn't require fancy web design but
the interface should be clean and usable.
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I have my own estimate and how long they give to me, but would be
curious what other people think of it.

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