Problem 441. Drying sweater?

Created by AMITAVA BISWAS
Appears in Strings II

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A sweater is revolving in a slow low power dryer and losing moisture at any moment at the constant rate 100% of its current moisture content in 100 minutes.
Veronica knew the sweater was x times its dry weight when she put her wet sweater from the washer to the dryer.
How many minutes she should wait so that the sweater weighs w times its dry weight?
Please try a general solution, the test suite may expand later.

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Last Solution submitted on Jun 25, 2024

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Jean-Marie Sainthillier on 29 Aug 2012

-1 :)

Jihye Sofia Seo on 13 Feb 2017

It seems like the water content halves every ~69 minutes. But the first sentence about 100% and 100 minutes are very confusing. If it is exponential decay, then water should never reach 0.

Rafael S.T. Vieira on 10 Oct 2020

This duration, "in 100 minutes", is misleading, since we are dealing with continuous compouding or exponential decay. Probably a better drescription would be: "A sweater is revolving in a slow low power dryer and losing moisture at any moment at the constant rate 100% of its current moisture content"

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Problem 441. Drying sweater?

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Problem 441. Drying sweater?

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