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A kangaroo hops 2 kilometers in 3 minutes. At this rate, how long, in minutes, does it take the kangaroo to hop 5 kilometers? Answer ________________________ minutes At this rate, how far, in kilometers, does the kangaroo travel in 2 minutes? Answer ________________________ kilometers

User Noamk
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2 Answers

18 votes
18 votes

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.

User Mathause
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3.4k points
20 votes
20 votes

Answer:

It takes the kangaroo 7.5 minutes to travel 5 kilometers.

Step-by-step explanation:

It takes the kangaroo 7.5 minutes to travel 5 kilometers.

First step is to formulate

3×5/2

Second step is to determine the time by calculating the product or quotient

Time=3×5/2

Time=15/2

Time=7.5 minutes

Inconclusion how long it takes the kangaroo to travel 5 kilometers is 7.5 minutes.

User Mowienay
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3.1k points