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lgbasallote Group Title

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

  • 2 years ago
  • 2 years ago

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  1. Yahoo! Group Title
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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

    • 2 years ago
  2. lgbasallote Group Title
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    i don't think that's right.....

    • 2 years ago
  3. lgbasallote Group Title
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    what's that 625 on the first line by the way?

    • 2 years ago
  4. Yahoo! Group Title
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    \[S=\frac{ d }{ t }\]

    • 2 years ago
  5. lgbasallote Group Title
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    i doubt this is that simple

    • 2 years ago
  6. sauravshakya Group Title
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    8(1253-x)=1000 x=1128 seconds Looks correct to me.

    • 2 years ago
  7. lgbasallote Group Title
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    1253 - x?

    • 2 years ago
  8. lgbasallote Group Title
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    you do know i asked how long Achilles slept and not how long Achilles was running...right?

    • 2 years ago
  9. sauravshakya Group Title
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    x is the time for which Achilles sleeps...... So, 1253-x gives how long he ran.

    • 2 years ago
  10. lgbasallote Group Title
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    hmm then that's not right

    • 2 years ago
  11. sauravshakya Group Title
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    WHY???

    • 2 years ago
  12. lgbasallote Group Title
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    like i said...it's not simple

    • 2 years ago
  13. lgbasallote Group Title
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    the question is...what's the right solution...

    • 2 years ago
  14. Yahoo! Group Title
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    @lgbasallote which part Do u think...i made a Mistake...

    • 2 years ago
  15. lgbasallote Group Title
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    why are you asking me? i'm the asker here...you tell me....

    • 2 years ago
  16. lgbasallote Group Title
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    because you think you're right?

    • 2 years ago
  17. Yahoo! Group Title
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    Toto took 1250s To cover 1000m.... right.?

    • 2 years ago
  18. lgbasallote Group Title
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    no need to explain to me your solution..i get it

    • 2 years ago
  19. lgbasallote Group Title
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    ..it's the book that says it's wrong..not me

    • 2 years ago
  20. myininaya Group Title
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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.

    • 2 years ago
  21. myininaya Group Title
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    I will be deleting anything I find nasty here. Thanks.

    • 2 years ago
  22. myininaya Group Title
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    Keep in mind. Discussion is an awesome tool in learning. :)

    • 2 years ago
  23. shubhamsrg Group Title
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    * :P

    • 2 years ago
  24. shubhamsrg Group Title
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    though no one asked,,but i guess yahoo is right..

    • 2 years ago
  25. lgbasallote Group Title
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    i suppose one needs to get the speeds first...

    • 2 years ago
  26. ganeshie8 Group Title
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    me too i dont see a mistake in the solution

    • 2 years ago
  27. shubhamsrg Group Title
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    whats the ans in the book ?

    • 2 years ago
  28. shubhamsrg Group Title
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    and speeds are already given right ?

    • 2 years ago
  29. lgbasallote Group Title
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    ahh i think i get what the question is asking

    • 2 years ago
  30. alexyn Group Title
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    I got 1128. using a much more complex method.

    • 2 years ago
  31. lgbasallote Group Title
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    hmm maybe I can get an idea from that complex method

    • 2 years ago
  32. lgbasallote Group Title
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    this is a headscratcher

    • 2 years ago
  33. alexyn Group Title
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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

    • 2 years ago
  34. lgbasallote Group Title
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    so your answer is 1128 too huh

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

    • 2 years ago
  36. lgbasallote Group Title
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    what if the 3 seconds doesn't mean that Achilles finished 3 seconds later?

    • 2 years ago
  37. alexyn Group Title
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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.

    • 2 years ago
  38. lgbasallote Group Title
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    i meant 3 seconds can mean that Achilles' running time is 3 more than the tortoise's

    • 2 years ago
  39. alexyn Group Title
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    No. It doesn't mean that here.

    • 2 years ago
  40. myininaya Group Title
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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.

    • 2 years ago
  41. myininaya Group Title
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    125/2+nap+125/2 =1253

    • 2 years ago
  42. myininaya Group Title
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    125+nap=1253

    • 2 years ago
  43. lgbasallote Group Title
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    hmm i'll think about this. this is supposedly a tricky question

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

    • 2 years ago
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