Final answer:
The kangaroo will take approximately 3.33 minutes to hop 5 kilometers. The kangaroo will travel 3 kilometers in 2 minutes.
Step-by-step explanation:
To find out how long it will take the kangaroo to hop 5 kilometers at a rate of 2 kilometers in 3 minutes, we can set up a proportion.
Let x be the time in minutes it takes for the kangaroo to hop 5 kilometers.
2 kilometers x minutes
------------ = ------------
3 minutes 5 kilometers
Cross-multiplying gives us 2 * 5 = 3 * x, which simplifies to 10 = 3x. We can solve for x by dividing both sides of the equation by 3, giving us x = 10/3 = 3.33 minutes.
Therefore, it will take the kangaroo approximately 3.33 minutes to hop 5 kilometers.
To find out how far the kangaroo will travel in 2 minutes at the same rate, we can set up another proportion.
Let y be the distance in kilometers the kangaroo will travel in 2 minutes.
2 kilometers 2 minutes
------------ = ------------
3 minutes y kilometers
Cross-multiplying gives us 2 * y = 3 * 2, which simplifies to 2y = 6. We can solve for y by dividing both sides of the equation by 2, giving us y = 6/2 = 3 kilometers.
Therefore, the kangaroo will travel 3 kilometers in 2 minutes.