Final answer:
The kangaroo hops at a rate of 2 kilometers in 3 minutes, therefore to find the time to cover 14 kilometers, we set up a proportion and solve for the unknown variable, which is found to be 21 minutes.
Step-by-step explanation:
To find out how long it takes a kangaroo to travel 14 kilometers, we first need to establish the rate at which the kangaroo travels, which is given as 2 kilometers every 3 minutes. To calculate the total time for 14 kilometers, we can set up a proportion where the distances are directly proportional to the times. We have the proportion 2 km / 3 min = 14 km / x min, where x represents the unknown time needed for the kangaroo to travel 14 kilometers.
- First, we cross multiply to solve for x: (2 km) * (x min) = (3 min) * (14 km).
- Next, we simplify the equation: 2x = 42.
- Then, divide both sides by 2 to solve for x: x = 21.
Therefore, it would take the kangaroo 21 minutes to travel a distance of 14 kilometers.