Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.
I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.
Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.
Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.
![\lfloor\sqrt[6]{427}\rfloor=2](https://tex.z-dn.net/?f=%5Clfloor%5Csqrt%5B6%5D%7B427%7D%5Crfloor%3D2)
numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.