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# Two ants start simultaneously from two ant holes towards each other.

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Manager
Joined: 19 Aug 2009
Posts: 78
Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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09 Sep 2009, 13:26
4
00:00

Difficulty:

65% (hard)

Question Stats:

55% (02:38) correct 45% (03:45) wrong based on 41 sessions

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Two ants start simultaneously from two ant holes towards each other. The first ant covered 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant traveled 800 feet to the meeting point.

(A) 15 feet/h
(B) 25 feet/h
(C) 45 feet/h
(D) 35 feet/h
(E) 40 feet/h
Senior Manager
Joined: 23 Jun 2009
Posts: 351
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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09 Sep 2009, 23:06
3
speed of ant1=(8/3)/100 of hole per hour
speed of ant2=(7/120)/2,5=(7/3)/100 of hole per hour
if ant1 goes 800 metres to meeting point then ant2 goes 700 metres.
Total distance makes 1500 metres.
speed of ant2=(7/3)/100 of hole per hour it makes (7/3)/100 * 1500= 35 metres per hour.

4)35
Director
Joined: 01 Apr 2008
Posts: 768
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 00:49
maliyeci wrote:
speed of ant1=(8/3)/100 of hole per hour
speed of ant2=(7/120)/2,5=(7/3)/100 of hole per hour
if ant1 goes 800 metres to meeting point then ant2 goes 700 metres.
Total distance makes 1500 metres.
speed of ant2=(7/3)/100 of hole per hour it makes (7/3)/100 * 1500= 35 metres per hour.

4)35

How did you get the statement in Red?
s1=8d/300 and s2=7d/300

Now, how did you arrive at 800 and 700 as the distances?
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Joined: 23 Jun 2009
Posts: 351
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 00:54
1
Economist wrote:
maliyeci wrote:
speed of ant1=(8/3)/100 of hole per hour
speed of ant2=(7/120)/2,5=(7/3)/100 of hole per hour
if ant1 goes 800 metres to meeting point then ant2 goes 700 metres.
Total distance makes 1500 metres.
speed of ant2=(7/3)/100 of hole per hour it makes (7/3)/100 * 1500= 35 metres per hour.

4)35

How did you get the statement in Red?
s1=8d/300 and s2=7d/300

Now, how did you arrive at 800 and 700 as the distances?

speed of ant1 = 8/300 of hole per hour
speed of ant2 = 7/300 of hour per hour
speed of ant1/speed of ant2=8/7
so in the time ant1 goes 800 metres, ant2 can go 700 metres
Senior Manager
Joined: 23 Jun 2009
Posts: 351
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 01:22
Speed of ant1=> ant1 covers 8% of hole in 3 hours = 8/100/3=8/300
speed of ant2=> ant2 covers 7/120 in 2,5 hours = 7/120/2,5=7/300
Director
Joined: 01 Apr 2008
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Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 01:30
maliyeci wrote:
Economist wrote:
maliyeci wrote:
speed of ant1=(8/3)/100 of hole per hour
speed of ant2=(7/120)/2,5=(7/3)/100 of hole per hour
if ant1 goes 800 metres to meeting point then ant2 goes 700 metres.
Total distance makes 1500 metres.
speed of ant2=(7/3)/100 of hole per hour it makes (7/3)/100 * 1500= 35 metres per hour.

4)35

How did you get the statement in Red?
s1=8d/300 and s2=7d/300

Now, how did you arrive at 800 and 700 as the distances?

speed of ant1 = 8/300 of hole per hour
speed of ant2 = 7/300 of hour per hour
speed of ant1/speed of ant2=8/7
so in the time ant1 goes 800 metres, ant2 can go 700 metres

ahh i got it...
so if we know speeds ( or ratio of speeds ) we can find ratio of distances keeping time as constant.
s1/s2 = d1/d2 ( where t1=t2), hence, d1/d2 = 8/7...now d1 = 800, so d2 = 800*7/8 = 700.
Nice concept!
teşekkür ederim
Senior Manager
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Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 01:49
Economist wrote:
teşekkür ederim

Where did you learn our thanking words "Teşekkür ederim". I am very happy to see it. Have a nice day.
Manager
Joined: 28 Jul 2009
Posts: 113
Location: India
Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 02:10
maliyeci wrote:
speed of ant1=(8/3)/100 of hole per hour
speed of ant2=(7/120)/2,5=(7/3)/100 of hole per hour
if ant1 goes 800 metres to meeting point then ant2 goes 700 metres.
Total distance makes 1500 metres.
speed of ant2=(7/3)/100 of hole per hour it makes (7/3)/100 * 1500= 35 metres per hour.

4)35

You are too good at this. Great going.
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Will do anything for Kudos! Please feel free to give one.

Manager
Joined: 27 Oct 2008
Posts: 177
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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10 Sep 2009, 06:01
speed of ant1 is 8/300
speed of ant2 is 7/300
so if ant1 covers 800 ant 2 will cover 700......speed of ant2 (7/3)/100 per hour
hence (7/3)/100 * 1500= 35 metres per hour
Current Student
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
Two ants start simultaneously from two ant holes towards each other  [#permalink]

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Updated on: 01 Mar 2017, 22:30
Two ants start simultaneously from two ant holes towards each other. The first ant covered 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant traveled 800 feet to the meeting point.
(A) 15 feet/h
(B) 25 feet/h
(C) 45 feet/h
(D) 35 feet/h
(E) 40 feet/h
_________________

Originally posted by saswata4s on 27 Feb 2017, 02:44.
Last edited by saswata4s on 01 Mar 2017, 22:30, edited 1 time in total.
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4485
Re: Two ants start simultaneously from two ant holes towards each other  [#permalink]

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27 Feb 2017, 16:31
1
saswata4s wrote:
Two ants start simultaneously from two ant holes towards each other. The first ant covered 8% of the distance between the two ant holes in 3 hours, the second ant covered ____ of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant traveled 800 feet to the meeting point.
(A) 15 feet/h
(B) 25 feet/h
(C) 45 feet/h
(D) 35 feet/h
(E) 40 feet/h

Dear saswata4s,

My friend, with all due respect, I believe something is missing from the test of the problems above. It's possible that if there were a math image, say, a fraction, and you copied and pasted, the math symbol did not paste into the plaintext of the GMAT Club problem box. You could retype what is missing in text, or use the math symbolism features.

Actually, I found this question already posted here:
https://gmatclub.com/forum/time-speed-d ... 83745.html
Always search before you start a new thread for a question. Bunuel will have to merge the topics.

Does all this make sense?
Mike
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Current Student
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
Re: Two ants start simultaneously from two ant holes towards each other  [#permalink]

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01 Mar 2017, 22:32
Thanks mikemcgarry for pointing out. sorry for the inconvenience caused.

Cheers.
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Math Expert
Joined: 02 Sep 2009
Posts: 52392
Re: Two ants start simultaneously from two ant holes towards each other.  [#permalink]

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01 Mar 2017, 22:41
mikemcgarry wrote:
saswata4s wrote:
Two ants start simultaneously from two ant holes towards each other. The first ant covered 8% of the distance between the two ant holes in 3 hours, the second ant covered ____ of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant traveled 800 feet to the meeting point.
(A) 15 feet/h
(B) 25 feet/h
(C) 45 feet/h
(D) 35 feet/h
(E) 40 feet/h

Dear saswata4s,

My friend, with all due respect, I believe something is missing from the test of the problems above. It's possible that if there were a math image, say, a fraction, and you copied and pasted, the math symbol did not paste into the plaintext of the GMAT Club problem box. You could retype what is missing in text, or use the math symbolism features.

Actually, I found this question already posted here:
https://gmatclub.com/forum/time-speed-d ... 83745.html
Always search before you start a new thread for a question. Bunuel will have to merge the topics.

Does all this make sense?
Mike

Topics merged. Thank you Mike.
_________________
Re: Two ants start simultaneously from two ant holes towards each other. &nbs [#permalink] 01 Mar 2017, 22:41
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