Final answer:
It should take the kangaroo 7.5 minutes to go 5 kilometers at the same rate.
Step-by-step explanation:
To find out how long it should take for the kangaroo to go 5 kilometers at the same rate, we can set up a proportion. We know that the kangaroo can hop 2 kilometers in 3 minutes. So, the ratio of distance to time is 2 kilometers / 3 minutes. We want to find out the time it takes to go 5 kilometers, so we set up the proportion:
2 kilometers / 3 minutes = 5 kilometers / x minutes.
To solve for x, we can use cross-multiplication. Cross-multiplying gives us:
(2 kilometers) * (x minutes) = (5 kilometers) * (3 minutes)
2x = 15
Dividing both sides by 2, we get:
x = 7.5
So, it should take the kangaroo 7.5 minutes to go 5 kilometers at the same rate.