A husband and wife have $50,000 saved and want to give it to charity. With the husband's plan, they would give away 10 cents on the first day, then 20 cents on the second, 40 on the third, and so on, doubling each day. In the wife’s plan, they would give away $1000 each day. They want to figure out which plan will cause them to run out of money fastest.

How many days will it take for the couple to run out of money using the wife's plan?