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Manager
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Time, Speed, Distance Problem [#permalink]
 09 Sep 2009, 14:20
Question Stats:
25% (00:00) correct
75% (06:40) wrong based on 1 sessions
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
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Re: Time, Speed, Distance Problem [#permalink]
09 Sep 2009, 18:40
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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
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Re: Time, Speed, Distance Problem [#permalink]
09 Sep 2009, 22:32
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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Re: Time, Speed, Distance Problem [#permalink]
09 Sep 2009, 23:04
I guess D is correct..
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Re: Time, Speed, Distance Problem [#permalink]
10 Sep 2009, 01:25
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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 
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Re: Time, Speed, Distance Problem [#permalink]
10 Sep 2009, 07:07
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
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Re: Time, Speed, Distance Problem [#permalink]
11 Sep 2009, 13:28
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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Re: Time, Speed, Distance Problem [#permalink]
05 Nov 2011, 05:55
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.
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Re: Time, Speed, Distance Problem
[#permalink]
05 Nov 2011, 05:55
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