Sloan the sloth crawls at 100 meters per hour when crawling uphill, 120 meters per hour when crawling across flat ground, and 150 meters per hour when crawling downhill. One day, Sloan crawls across the forest floor from a tree stump to a spring, and then takes the same route in reverse to return to the tree stump. What was Sloan's average speed during the entire round trip?

Guest Jun 24, 2021

edited by
Guest
Jun 24, 2021

#1**+2 **

120 m/s answered the other day

We know the average flat speed is 120

If you draw a diagram you will see that the up and the down paths are equal for his roundtrip

Call the distance one way = d 2 d for round trip

time on uphill d/100 time on downhill d/150

average speed 2 d /(d/100+d/150) = 2d/ ( 3d/300 + 2d/300) = 2d / ( 5d/300) = 600/5 = 120 m/s

so all of the sections average 120 m/s so his overall average speed is 120 m/s

ElectricPavlov Jun 24, 2021

edited by
Guest
Jun 24, 2021