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# Two ants start moving simultaneously from two different corners on a

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Math Expert
Joined: 02 Sep 2009
Posts: 58104
Two ants start moving simultaneously from two different corners on a  [#permalink]

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12 Sep 2018, 00:17
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:51) correct 34% (02:11) wrong based on 95 sessions

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Two ants start moving simultaneously from two different corners on a cube point A and point B. The first ant moves up along the edge from point A, and the other ant moves back along the edge from point B, as shown in the figure. If both move at a speed of 2 inches per second, what is the straight-line distance between the two ants after 10 seconds?

(1) The volume of the cube is 27 cubic feet.
(2) The vertical distance between the two ants after 5 seconds is 10 inches.

Attachment:

image002.jpg [ 3.61 KiB | Viewed 883 times ]

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Re: Two ants start moving simultaneously from two different corners on a  [#permalink]

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22 Sep 2018, 05:40
1
How do you solve this?

You are given the path and the speed of the two ants.

This means you do need the dimensions of the cube or the length of a single side to determine the distance between the ants.

Statement 1 gives you the dimensions of the entire cube, with the respective formulas you could now determien the distance between the ants.
However, at this point you could already stop as you have enough information to conclude that statement A is sufficient.

Statement 2 only gives you the vertical distances between the two ants, however unless you also know the horizontal distance you are not able to calculate the straight line distance.
Hence this statement does not provide information on its own to solve the question.

Due to statement 1 beeing sufficient on its own the correct answer is A.

Hope this helps.

Best regards,
Chris
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Re: Two ants start moving simultaneously from two different corners on a  [#permalink]

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22 Sep 2018, 06:03
1
How do you solve this?
In the figure we can find x and substitute it to find y(refer attachment).So stat 1 is sufficient.
From statement 2 we cannot coclude in which direction the ants moved over time as we dont know exact dimentions of the cube hence not sufficient.
Hence A is the correct choice.
Hope its clear.
Attachment:

IMG_20180922_183037.jpg [ 21.5 KiB | Viewed 743 times ]

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Re: Two ants start moving simultaneously from two different corners on a  [#permalink]

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22 Sep 2018, 05:25
How do you solve this?
Manager
Joined: 27 Nov 2015
Posts: 123
Re: Two ants start moving simultaneously from two different corners on a  [#permalink]

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17 Jan 2019, 23:42
should'nt we have the relationship between feet and inches?
Re: Two ants start moving simultaneously from two different corners on a   [#permalink] 17 Jan 2019, 23:42
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