A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack? Let's be accurate as possible.
User
He is going to hike 8 * = 40 hours. That means he will be hiking for 40 * 2.5 = 100 miles. So he needs 100 * .5 = 50 pounds of supplies. With the resupply he can get up to 1 + .25 = 1.25 times his initial pack. That means his initial pack has to weigh 50 / 1.25 = 40 pounds.
The answer: 40.
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