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# Two ants, Arthur and Amy, have discovered a picnic and are b

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Manager
Joined: 16 Feb 2012
Posts: 143
Concentration: Finance, Economics
Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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17 Aug 2013, 09:20
1
11
00:00

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(N/A)

Question Stats:

77% (01:32) correct 23% (01:42) wrong based on 219 sessions

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Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?

A. x/2
B. x
C. 3x/2
D. 2x
E. 3x
Director
Joined: 14 Dec 2012
Posts: 688
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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17 Aug 2013, 09:57
2
1
Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x

LET ARTHUR total trip = $$T$$ and number of crumbs per trip = $$C$$
Therefore total crumbs =$$C*T$$ ..which is given equal to $$X$$
So $$CT = X$$

now AMY makes twice trips therefore = $$2T$$....CRUMBS per trip = $$1.5$$ times arthurs = $$1.5C$$
therefore total crumbs = $$1.5C*2T = 3CT$$

now $$CT = X$$there fore $$3CT = 3X$$

THEREFORE number of crumbs Amy will bring to the anthill = $$3X$$

hence = E
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Senior Manager
Joined: 10 Jul 2013
Posts: 282
Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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17 Aug 2013, 10:15
2
1
Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x

Amy..................................Arthur
2p........................................ p = Trips
3/2 c ................................... c = crumbs

Now, Arthur , pc = x
so, Amy , 2p × 3/2 c =3pc = 3x
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Joined: 22 Aug 2013
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Location: India
Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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25 Sep 2013, 11:22
Stiv wrote:
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?
A x/2
B x
C 3x/2
D 2x
E 3x

Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips.

Thus total crumbs carried by Arthur (x) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so E
Director
Joined: 23 Jan 2013
Posts: 522
Schools: Cambridge'16
Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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14 Oct 2014, 21:12
1
Good names for ants and good story)). So good that I missed important data

x*2/1*3/2=6x/2=3x

E
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Posts: 1727
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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14 Oct 2014, 21:26
In 1 trip, work done by Arthur = x

So, in 1 trip, work done by Amy = 1.5x

However, Amy does twice the work of Arthur, means Amy makes 2 trips

So, work done by Amy in 2 trips = 1.5x * 2 = 3x

Senior Manager
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GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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23 Aug 2015, 11:52
1
HOW DO YOU KNOW than Amy returns back to make a second trip? Nothing in the problem makes you decide this.

What is given is that Amy will reach the anthouse when Arthur will still be halfway and she will be sitting still there waiting for the poor Arthur and having brought just exactly 1,5x, because she cannot carry more and she is not going back to picknick site.

Either crumbs are out or Amy is too tired to make a second trip.
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Re: Two ants, Arthur and Amy, have discovered a picnic and are b  [#permalink]

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30 Nov 2019, 08:14
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Two ants, Arthur and Amy, have discovered a picnic and are b   [#permalink] 30 Nov 2019, 08:14
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