Question:

I NEED A MATH GENIUS!!!! Please help me. ?

by Guest58600  |  earlier

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I did this problem and i am not sure that i got the right answer. Can some one help me out.

Two people are on a bicycle race around a circular track. One rider can race completely around the track in 40 seconds. The other rider takes 45 seconds. If they both begin the race at a designated starting point, how long will it take them to be together at this starting point again if the continue to race around the track??

The answer I came up with was 360 seconds.. or 6 min. Is this correct??

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8 ANSWERS


  1. yeah i am pretty sure that is the correct answer


  2. what's the lowest common multiple of 40 and 45?

    40 = 2*2*2 * 5

    45 = 3*3*5

    LCM = 2*2*2*3*3*5 = 8 * 9 * 5 = 72 * 5 = 360

    after 360 seconds (6 minutes) they'll be back at the same point

    Yes, you are correct sir!

  3. The way I figure it, if one guy is going 5 seconds slower than the other who goes 40, it will take 8 laps for the guy doing 40sec laps to lap the other guy, so I get 320 seconds... but, maybe you're right and I'm bassackwards.

    Ya, looks like I was bassackwards.  it's the 45 divided by 5 times 40

  4. u r right i think so my answer r the same

  5. = 02:02:02:xx:xx:05

    = xx:xx:xx:03:03:05

    = 02:02:02:03:03:05

    = 2([2{3}]²[5])

    = 2(5[6²])

    = 2(5[36])

    = 2(180)

    = 360

    Answer: 360 seconds or 6 minutes (360seconds/60)

  6. doesn't take a math genius just a little simple division all you have to do is know that if you multiply 40 x 9 and divide that total by 45 you will get 6.

    The trick is when you are doing problems like this is knowing that when you multiply the number (in this case 40) by a number (in this case 9) when you divide it by the 2nd number (in this case 45) that it has to be the lowest whole number possible.

    high school algebra

  7. email me and i'll give u the answer

  8. Essentially it is asking for the lowest common multiple of 40 and 45.

    40 = 2 x 2 x 2 x 5

    45 = 3 x 3 x 5

    LCM(40, 45) = 2 x 2 x 2 x 3 x 3 x 5 = 360

    You are exactly correct.  First cyclist makes 9 laps and the second cyclist makes 8 laps.  It will take 360 seconds = 6 minutes

    Good job!

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