Meeting Point of Kangaroo and Rabbit while Jumping Steps

Question:

When a kangaroo jump up 7 steps the rabbit goes down 3 steps. The rabbit is in step 100 and the kangaroo is in step 0. On which step will they meet?

Final answer:

The kangaroo and the rabbit will meet on step 100.

Answer:

To find the step at which the kangaroo and the rabbit will meet, we need to determine the number of jumps required for their net motion to reach 100 steps.

Let's calculate:

Net motion per jump = 7 - 3 = 4 steps

Number of jumps = 100 / 4 = 25 jumps

Total motion = Net motion per jump * Number of jumps = 4 * 25 = 100 steps

Since the kangaroo starts at step 0, we need to add the total motion to the starting step:

Step at which they will meet = 0 + 100 = 100 steps

Explanation:

When a kangaroo jumps up 7 steps, and the rabbit goes down 3 steps, their net motion per jump is 4 steps. Based on the information provided, the rabbit is initially on step 100, and the kangaroo is on step 0. By calculating the number of jumps required for their total motion to reach 100 steps, we find that they will meet on step 100.

This meeting point calculation involves understanding the relative movements of the kangaroo and the rabbit while considering their starting positions and net motions. By applying basic mathematics, we can determine the precise step at which they will come together during their respective movements.

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