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In her garden, Mary plants a rose plant and then a jasmine plant 10

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aashishagarwal2
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In her garden, Mary plants a rose plant and then a jasmine plant 10 [#permalink] New post   22 Aug 2017, 09:04
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Geometry PS Question:

In her garden, Mary plants a rose plant and then a jasmine plant 10 yards away from the rose plant. She then plants a lily plant 20 yards away from jasmine. If all the 3 plants are non-collinear, then find the difference between the maximum and the minimum possible distance between the Rose and the lily plant?

I don't have the options to this sum.

I feel solved in my mind and based on logic. I feel the answer should be 11 & 29. Am I correct?
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Bunuel
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Re: In her garden, Mary plants a rose plant and then a jasmine plant 10 [#permalink] New post   22 Aug 2017, 09:10
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aashishagarwal2 wrote:
Geometry PS Question:

In her garden, Mary plants a rose plant and then a jasmine plant 10 yards away from the rose plant. She then plants a lily plant 20 yards away from jasmine. If all the 3 plants are non-collinear, then find the difference between the maximum and the minimum possible distance between the Rose and the lily plant?

I don't have the options to this sum.

I feel solved in my mind and based on logic. I feel the answer should be 11 & 29. Am I correct?


The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

RJ = 10
LJ = 20

(RJ - LJ) < RL < (RJ + LJ)
10 < RL < 30
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Re: In her garden, Mary plants a rose plant and then a jasmine plant 10 [#permalink] New post   09 Apr 2018, 23:31
aashishagarwal2 wrote:
Geometry PS Question:

In her garden, Mary plants a rose plant and then a jasmine plant 10 yards away from the rose plant. She then plants a lily plant 20 yards away from jasmine. If all the 3 plants are non-collinear, then find the difference between the maximum and the minimum possible distance between the Rose and the lily plant?

I don't have the options to this sum.

I feel solved in my mind and based on logic. I feel the answer should be 11 & 29. Am I correct?


Yes you are right (RJ-JL)<RL<(RJ+JL) which is 10<RL<30. This leaves 29 as maximum value and 11 as minimum value and their difference is 18, which is the answer.
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Re: In her garden, Mary plants a rose plant and then a jasmine plant 10 [#permalink] New post   28 Feb 2022, 12:35
visualisation & drawing is the best way to solve such questions.

create a point R (rose), extend it in any direction (i took east) & distance of 10, to point J (jasmine) & then extend from J to both east & west by 20. You will notice that the maximum & min distance is evident as <30 & >10
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Re: In her garden, Mary plants a rose plant and then a jasmine plant 10 [#permalink]
28 Feb 2022, 12:35
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