Math question - ratio

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hl98davies
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#1
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I think I have an answer, I was just wondering if anyone could offer some reassurance? TIA!

2 athletes enter a 2,000m race around a 400 metre track. One is faster than their rival. In the ratio of 3:2, how far into the race, will the slower be lapped by the quicker runner?
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Mythical Pingu
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Hi, I've moved your thread to the Maths forum - I hope you can get an answer here. Sorry I'm no help!

MP
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hl98davies
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(Original post by Mythical Pingu)
Hi, I've moved your thread to the Maths forum - I hope you can get an answer here. Sorry I'm no help!

MP
Thank you!
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mqb2766
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(Original post by hl98davies)
Thank you!
What did you get as an answer / working?
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hl98davies
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(Original post by mqb2766)
What did you get as an answer / working?
3 laps? But I'm not sure on method or if my approach is correct for this type of question.
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the bear
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the fast runner completes 3 laps at the same moment the slower one completes 2 laps.
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hl98davies
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(Original post by the bear)
the fast runner completes 3 laps at the same moment the slower one completes 2 laps.
I think the way the question is worded through me off, would you agree that the length of the race is irrelevant?
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the bear
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(Original post by hl98davies)
I think the way the question is worded through me off, would you agree that the length of the race is irrelevant?
well if they want the answer as a number of laps then it is irrelevant, if they want the distance covered then you need to know how long each lap is.
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hl98davies
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(Original post by the bear)
well if they want the answer as a number of laps then it is irrelevant, if they want the distance covered then you need to know how long each lap is
By the way the question is worded, I would answer it with the number of laps so I assume I would just answer it with something like: The faster runner (A) passed his rival on A's third lap of the track?
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the bear
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(Original post by hl98davies)
By the way the question is worded, I would answer it with the number of laps so I assume I would just answer it with something like: The faster runner (A) passed his rival on A's third lap of the track?
"at the exact point where B has completed 2 laps" would be more precise.
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hl98davies
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(Original post by the bear)
"at the exact point where B has completed 2 laps" would be more precise.
Thank you!
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