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In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog

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Manager
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In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  09 Sep 2009, 13:20
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Question Stats:

60% (02:21) correct 40% (05:27) wrong based on 9 sessions
In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Roger beats Andy by 25m. By how many metres will Bryan beat Andyin a 400 m race?

1. 48m
2. 52m
3. 56m
4. 58m
Manager
Status: Berkeley Haas 2013
Joined: 23 Jul 2009
Posts: 193
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Kudos [?]: 32 [2] , given: 16

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  09 Sep 2009, 17:40
2
KUDOS
virtualanimosity wrote:
Q.
In a race of 600m,Bryan beats Roger by 60m and in a race of 500 m Roger beats Andy by 25m. By how many metres will Bryan beat Andyin a 400 m race?

1. 48m
2. 52m
3. 56m
4. 58m

Yeah this may look like RTD problem, but its not. Its a simple ratio problem

Race between Bryan and Roger - Roger covers 10% less of the distance i.e. in 600 m race, Roger covers 60 m less than Bryan. So in a 400 m race, Roger would cover 40 m less than Bryan i.e. 360 m

Race between Roger and Andy - Andy covers 5% less distance than Roger (In 500m race, Andy covers 25 m less than Roger). So when Roger covers 360 m, Andy would cover 5 % less - i.e. 342 m.

Distance difference between Bryan and Andy in a 400 m race = 400 - 342 = 58

Hence D

I think this is correct answer
Manager
Joined: 28 Jul 2009
Posts: 126
Location: India
Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business
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Kudos [?]: 60 [0], given: 12

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  09 Sep 2009, 21:32
stat
virtualanimosity wrote:
Q.
In a race of 600m,Bryan beats Roger by 60m and in a race of 500 m Roger beats Andy by 25m. By how many metres will Bryan beat Andyin a 400 m race?

1. 48m
2. 52m
3. 56m
4. 58m

Agreed. But I am getting 60 as answer. 10% and 5% of 400m ie 60. What is OA?
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Manager
Joined: 09 Aug 2009
Posts: 56
Followers: 1

Kudos [?]: 5 [0], given: 1

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  09 Sep 2009, 22:04
I guess D is correct..
Senior Manager
Joined: 23 Jun 2009
Posts: 360
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
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Kudos [?]: 95 [1] , given: 63

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  10 Sep 2009, 00:25
1
KUDOS
When bryan runs 600 metres, roger can run 540 metres. i.e. when bryan runs 400 metres, roger can run 360 metres.
When roger run 500 metres, andy can run 475 metres. i.e. when roger runs 360 metres, and can run 342 metres.
So when bryan runs 400 metres, roger can run 360 and andy can run 342 metres
Manager
Joined: 27 Oct 2008
Posts: 186
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Kudos [?]: 84 [0], given: 3

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  10 Sep 2009, 06:07
Race 1: Bryan and Roger
Roger has covered 10% less of the distance 600m
Roger ll cover 60 m less than Bryan.
So in a 400 m race, Roger would cover 10% of 400 = 40 m less than Bryan i.e. 360 m

Race 2:Roger and Andy
Andy has covered 5% less distance than Roger.
So in 360 m, Andy would cover 5 % less - i.e. 342 m.

400 - 342 = 58
Manager
Joined: 30 Apr 2009
Posts: 136
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Kudos [?]: 38 [0], given: 9

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  11 Sep 2009, 12:28
600=60 (min) * 10km/h Bryan
540=60 (min) * 9km/h Roger

500= 9km/h *55.5 (min) Roger
475= 8.55 km/h *55.5 (min) Andy

400=10km/h*40 min Bryan
342 = 8.55 km/h *40min Andy

400-342=58
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Manager
Joined: 23 Oct 2011
Posts: 85
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Kudos [?]: 21 [0], given: 34

Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog [#permalink]  05 Nov 2011, 04:55
virtualanimosity wrote:
Q.
In a race of 600m,Bryan beats Roger by 60m and in a race of 500 m Roger beats Andy by 25m. By how many metres will Bryan beat Andyin a 400 m race?

1. 48m
2. 52m
3. 56m
4. 58m

Since on the first race (600m), Bryan and Roger run for the same time

their ratio of distance run, will be the same with the ratio of their speeds:

Speed Bryan : Speed Roger ---> 600:540 ---> 10:9

Since on the second race (500m), Roger and Andy run for the same time:

their ratio of distance run, will be the same with the ratio of their speeds:

Speed Roger : Speed Andy ---> 500:475 ---> 20:19

The ratio of their speed's will be:

Speed of Bryan : Speed of Roger : Speed of Andy ---> 200 : 180 : 171

On the third race (400m), we assume that Bryan and Andy Run for the same time and will try to find their distance when Bryan finishes (when he covered 400m). Because they run for the same time, their ratio of speeds will equal the ratio of distance run.

Therefore,

Distance Bryan : Distance Andy ---> 200 : 171 ---> 400 : 342,

Bryan Beats Andy by 400-342=58m.
Re: In a race of 600m, Bryan beats Roger by 60m and in a race of 500 m Rog   [#permalink] 05 Nov 2011, 04:55
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