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?
He is going to hike 8*=40 hours
That means he will be hiking for 40*2.5=<<40*2.5=100>>100 miles
So he needs 100*.5=<<100*.5=50>>50 pounds of supplies
With the resupply he can get up to 1+.25=<<1+.25=1.25>>1.25 times his initial pack
That means his initial pack has to weigh 50/1.25=<<50/1.25=40>>40 pounds
#### 40