Question 1119861
.
A rabbit and a frog jump toward each other.
The rabbit takes two jumps for every three jumps of the frog.
The two jumping animals are 27m away, and it takes the rabbit 4 jumps to cover 1m
How many jumps will the frog take before they are both in same place?
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Something is missed in this condition, so that the solution is not possible.


Namely, the info regarding the frog rate or his length of jump is missed.



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<U>comment from student</U>: &nbsp;Thanks. &nbsp;But the frog rate is obvious in the problem, &nbsp;right? &nbsp;&nbsp;frog will jump &nbsp;6&nbsp; time for &nbsp;1&nbsp; m
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<U>My response</U>.  


Would the problem say &nbsp;"The rabbit makes two jumps at the same time as the frog makes three, &nbsp;<U>AND</U> 
two jumps of the rabbit are of the same length as three jumps of the frog", &nbsp;then the problem has the simple and easy solution:


<pre>
    At the same time as the rabbit makes two jumps, the frog makes three, and the distance between them decrease in 0.5 + 0.5 = 1 meter.

    Hence, when the frog will complete his 3*27 = 81-th jumps, the both creatures will be at one place.
</pre>

Solved.


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Below is the example of SIMILAR, but ACCURATELY formulated problem from the archive, which I solved at this forum long time ago:


<pre>
    A rabbit gives 5 jumps at the same time that the dog that chases it gives 4, but 8 dog leaps equate in distance to 11 jumps of the rabbit. 
    If the rabbit takes 66 advantage jumps, how many jumps should the dog give to reach the rabbit? 
</pre>


The link to this problem in the archive is


<A HREF=https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1093311.html>https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1093311.html</A>


https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1093311.html