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lgbasallote

  • 2 years ago

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

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  1. Yahoo!
    • 2 years ago
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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. lgbasallote
    • 2 years ago
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    i don't think that's right.....

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

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

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

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

  7. lgbasallote
    • 2 years ago
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    1253 - x?

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

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

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

  11. sauravshakya
    • 2 years ago
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    WHY???

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

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

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

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

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

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

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

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

  20. myininaya
    • 2 years ago
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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.

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

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

  23. shubhamsrg
    • 2 years ago
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    * :P

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

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

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

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

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

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

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

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

  32. lgbasallote
    • 2 years ago
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    this is a headscratcher

  33. alexyn
    • 2 years ago
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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

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

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

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

  37. alexyn
    • 2 years ago
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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.

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

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

  40. myininaya
    • 2 years ago
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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.

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

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

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

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

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