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# The "Racing magic" takes 120 seconds to circle the racing track once.

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Math Expert
Joined: 02 Sep 2009
Posts: 47033
The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 00:48
00:00

Difficulty:

95% (hard)

Question Stats:

47% (01:10) correct 53% (01:41) wrong based on 133 sessions

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The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

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Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 01:07
2
Time taken by Racing magic to make one circle = 120 seconds = 2 mins
Time taken by "Charging bull" to make one circle = 60 mins / 40 = 1.5 mins = 90 seconds
LCM of 90 and 120 seconds = 360 seconds = 6 mins
Time taken for them to meet at the starting point for the second time = 6 mins *2 = 12 mins

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Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 01:10
The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point
together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

Racing magic = 120 sec
Charging bull for 1 round = 60*60/40 = 90 sec
LCM of 90,120 = 360 sec = 6 mins.
Met for the second time after 6 mins as they met first time as they left together. B
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Senior Manager
Joined: 02 Mar 2012
Posts: 334
Schools: Schulich '16
The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 01:49
FightToSurvive wrote:
The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point
together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

Racing magic = 120 sec
Charging bull for 1 round = 60*60/40 = 90 sec
LCM of 90,120 = 360 sec = 6 mins.
Met for the second time after 6 mins as they met first time as they left together. B

i concur to same xplanation but, the question asks when will they meet of 2nd time

1st time would indeed be answer choice B but for 2nd time it will be 12 min.

Director
Joined: 21 Mar 2016
Posts: 537
Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 03:03
hsbinfy wrote:
FightToSurvive wrote:
The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point
together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

Racing magic = 120 sec
Charging bull for 1 round = 60*60/40 = 90 sec
LCM of 90,120 = 360 sec = 6 mins.
Met for the second time after 6 mins as they met first time as they left together. B

i concur to same xplanation but, the question asks when will they meet of 2nd time

1st time would indeed be answer choice B but for 2nd time it will be 12 min.

confused between B and D, anybody please provide explanation
Senior Manager
Joined: 20 Feb 2015
Posts: 421
Concentration: Strategy, General Management
Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 05:44
RM takes 120 seconds = 2 minutes to circle once
Cb takes 60/40 = 1.5 minutes to circle once
They will meet after the intervals of LCM (1.5 , 2.0) = 6,12,18..
thus they will meet for the second time at 12 minutes
Current Student
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Posts: 96
Location: India
Concentration: Operations
GMAT 1: 680 Q47 V36
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Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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13 Jun 2016, 18:12
hsbinfy wrote:
FightToSurvive wrote:
The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point
together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

Racing magic = 120 sec
Charging bull for 1 round = 60*60/40 = 90 sec
LCM of 90,120 = 360 sec = 6 mins.
Met for the second time after 6 mins as they met first time as they left together. B

i concur to same xplanation but, the question asks when will they meet of 2nd time

1st time would indeed be answer choice B but for 2nd time it will be 12 min.

the question says that they have started at the same time. which means that they have already met the first time. So, second time would be the next time they meet. i.e after 6 mins.
Current Student
Joined: 21 Jun 2016
Posts: 29
Location: India
GMAT 1: 710 Q50 V35
GPA: 3.8
Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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05 Jul 2016, 02:09
Confused as well. Would the fact that they started from the same point be considered as their first meeting or not? Anybody...?
Manager
Joined: 20 Jan 2016
Posts: 54
GMAT 1: 600 Q47 V26
The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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05 Jul 2016, 02:22
120 sec= 2 min
=0.5 rev/min

40 rounds per hour
= 40/60 = 2/3 rounds per min

substitue the option

The minimum value at which both the above speeds give a whole number will be the second meeting as they have met first time at the starting point...

A. 0.5*3=1.5 reject
B. 6*.5 =3
6*2/3= 4

So after 6,12,18,24 the horses will meet

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Joined: 26 Jun 2017
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Location: Russian Federation
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Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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17 Nov 2017, 12:54
Bunuel wrote:
The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?

A. 3
B. 6
C. 9
D. 12
E. 15

It is not concised question.
Why the first time they have met is not 0 sec ---> the second time 6 mins?
Manager
Joined: 24 Jun 2017
Posts: 122
Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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18 Nov 2017, 18:43
Yep, the question is not clear, doubt you gonna have smth confusing like that on real gmat or at least the question will be formulated differently
First time they meet when they start
second time in 6 mins
third time in 12 mins
Manager
Joined: 20 Feb 2017
Posts: 119
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
Re: The "Racing magic" takes 120 seconds to circle the racing track once. [#permalink]

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19 Nov 2017, 21:26
"Racing magic" = 120 seconds or say 2 minutes
The "Charging bull" makes 40 rounds of the track in an hour or say 3/2 minutes (60/40) to cover the track once.
so first time they will meet at starting point LCM (2,3/2) = 6 minutes
So second time they will meet at 12 minutes.
NOTE : how to calculate LCM between 2 and 3/2
formula to find LCM between fractions :
LCM( (a/b) , (c/d) ) = LCM(a,c)/HCF(b,d)

here LCM b/w 2 & 3 is 6
HCF b/w 1 and 2 is 1
therefore LCM = 6
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Re: The "Racing magic" takes 120 seconds to circle the racing track once.   [#permalink] 19 Nov 2017, 21:26
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