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lgbasallote

Achilles and a tortoise were racing on a 1 km track. Achilles runs on a constant 8 m/s speed and the tortoise's speed is 0.8 m/s. Halfway through the track, Achilles decided to take a nap since the tortoise was so far behind. However, when he woke up, the tortoise was already near the finish line. Achilles started to run again with constant speed of 8 m/s, but he lost to the tortoise by 3 seconds. How long did Achilles sleep? Note: Let the tortoise and Achilles' speed be constant

  • one year ago
  • one year ago

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  1. Yahoo!
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    T(torto) = 625 + 625 = 1250s to Cover 1000m T(achilles) = 62.5 + 62.5 = 125s to cover 1000m Since the Achilles reached 3 Seconds Later .it lost by 3 seconds means 125 + x = 1253 x = 1128s

    • one year ago
  2. lgbasallote
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    i don't think that's right.....

    • one year ago
  3. lgbasallote
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    what's that 625 on the first line by the way?

    • one year ago
  4. Yahoo!
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    \[S=\frac{ d }{ t }\]

    • one year ago
  5. lgbasallote
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    i doubt this is that simple

    • one year ago
  6. sauravshakya
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    8(1253-x)=1000 x=1128 seconds Looks correct to me.

    • one year ago
  7. lgbasallote
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    1253 - x?

    • one year ago
  8. lgbasallote
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    you do know i asked how long Achilles slept and not how long Achilles was running...right?

    • one year ago
  9. sauravshakya
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    x is the time for which Achilles sleeps...... So, 1253-x gives how long he ran.

    • one year ago
  10. lgbasallote
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    hmm then that's not right

    • one year ago
  11. sauravshakya
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    WHY???

    • one year ago
  12. lgbasallote
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    like i said...it's not simple

    • one year ago
  13. lgbasallote
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    the question is...what's the right solution...

    • one year ago
  14. Yahoo!
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    @lgbasallote which part Do u think...i made a Mistake...

    • one year ago
  15. lgbasallote
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    why are you asking me? i'm the asker here...you tell me....

    • one year ago
  16. lgbasallote
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    because you think you're right?

    • one year ago
  17. Yahoo!
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    Toto took 1250s To cover 1000m.... right.?

    • one year ago
  18. lgbasallote
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    no need to explain to me your solution..i get it

    • one year ago
  19. lgbasallote
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    ..it's the book that says it's wrong..not me

    • one year ago
  20. myininaya
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    Did he shout? You guys play nice please. People can disagree with answers. I don't find it rude to do so. I'm not saying anyone's answer is right here. I'm just saying people have a right to disagree but please be respectful about it.

    • one year ago
  21. myininaya
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    I will be deleting anything I find nasty here. Thanks.

    • one year ago
  22. myininaya
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    Keep in mind. Discussion is an awesome tool in learning. :)

    • one year ago
  23. shubhamsrg
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    * :P

    • one year ago
  24. shubhamsrg
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    though no one asked,,but i guess yahoo is right..

    • one year ago
  25. lgbasallote
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    i suppose one needs to get the speeds first...

    • one year ago
  26. ganeshie8
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    me too i dont see a mistake in the solution

    • one year ago
  27. shubhamsrg
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    whats the ans in the book ?

    • one year ago
  28. shubhamsrg
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    and speeds are already given right ?

    • one year ago
  29. lgbasallote
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    ahh i think i get what the question is asking

    • one year ago
  30. alexyn
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    I got 1128. using a much more complex method.

    • one year ago
  31. lgbasallote
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    hmm maybe I can get an idea from that complex method

    • one year ago
  32. lgbasallote
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    this is a headscratcher

    • one year ago
  33. alexyn
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    Alright. Using your head. visualize the problem. A 1000 meter track. Tortoise and Achilles begin running. Achilles pulls ahead and half way takes a nap. Thats after 62.5 seconds. He's already covered 500 m. At that same time Achilles sleeps, Tortoise has reached 50 m. Now using that knowledge, we know it will take the Tortoise 1187.5 s to finish. It'll take Achilles 62.5 s. So subtract Achilles time from Tortoise's. Which gives you. 1,187.5 s - 62.5 = 1,125 s. Add three seconds. = 1,128 s

    • one year ago
  34. lgbasallote
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    so your answer is 1128 too huh

    • one year ago
  35. alexyn
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    Yep. It makes complete sense. He napped for 1,128 seconds. in order to finish 3 seconds after tortoise.

    • one year ago
  36. lgbasallote
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    what if the 3 seconds doesn't mean that Achilles finished 3 seconds later?

    • one year ago
  37. alexyn
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    Oh it does. Because at 1,125 s. Achilles finished right with tortoise. But adding 3 seconds means he finished 3 seconds later.

    • one year ago
  38. lgbasallote
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    i meant 3 seconds can mean that Achilles' running time is 3 more than the tortoise's

    • one year ago
  39. alexyn
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    No. It doesn't mean that here.

    • one year ago
  40. myininaya
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    @lgbasallote I agree with Yahoo's answer also. Like this is the way I thought of it: |dw:1350569105212:dw| Since like everyone is saying A finished 3 seconds after T. So that means A finished in 1253 seconds.

    • one year ago
  41. myininaya
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    125/2+nap+125/2 =1253

    • one year ago
  42. myininaya
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    125+nap=1253

    • one year ago
  43. lgbasallote
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    hmm i'll think about this. this is supposedly a tricky question

    • one year ago
  44. ganeshie8
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    this is tricky only.. i see it now only :) answer must be : 1250 - (62.5+3) bit ambiguous... but okay... ..

    • one year ago
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