Question

The hike to the campsite is 4 km long if we take turns carrying the tents for 4/5 of a kilometer meter how many times will the tent change hands.

Answer 1

Total Distance = 4km

Each person takes 4/5km

Calculate the number of times the tent has to change hands:

$4 \div \dfrac{4}{5} = \dfrac{4}{1} \times \dfrac{5}{4} = \dfrac{5}{1} = 5$

$\boxed {\boxed { \text {Answer: The tent will have to change hands 5 times.} } \\ \\ }$

Answer 2

4/5 kilometre = 0.8 km

If the hike is 4km in total, then the number of times the tent would be swapped is:
(4/0.8) - 1
= 5 - 1
= 4 times (5 is the number of sections of 0.8 km in the 4 km hike however since one person already started with the tent in the first section it would need to be swapped between the two people 4 times - hopefully that makes sense)