lgbasallote
  • 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
Algebra
chestercat
  • chestercat
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anonymous
  • anonymous
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
lgbasallote
  • lgbasallote
i don't think that's right.....
lgbasallote
  • lgbasallote
what's that 625 on the first line by the way?

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anonymous
  • anonymous
\[S=\frac{ d }{ t }\]
lgbasallote
  • lgbasallote
i doubt this is that simple
anonymous
  • anonymous
8(1253-x)=1000 x=1128 seconds Looks correct to me.
lgbasallote
  • lgbasallote
1253 - x?
lgbasallote
  • lgbasallote
you do know i asked how long Achilles slept and not how long Achilles was running...right?
anonymous
  • anonymous
x is the time for which Achilles sleeps...... So, 1253-x gives how long he ran.
lgbasallote
  • lgbasallote
hmm then that's not right
anonymous
  • anonymous
WHY???
lgbasallote
  • lgbasallote
like i said...it's not simple
lgbasallote
  • lgbasallote
the question is...what's the right solution...
anonymous
  • anonymous
@lgbasallote which part Do u think...i made a Mistake...
lgbasallote
  • lgbasallote
why are you asking me? i'm the asker here...you tell me....
lgbasallote
  • lgbasallote
because you think you're right?
anonymous
  • anonymous
Toto took 1250s To cover 1000m.... right.?
lgbasallote
  • lgbasallote
no need to explain to me your solution..i get it
lgbasallote
  • lgbasallote
..it's the book that says it's wrong..not me
myininaya
  • myininaya
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.
myininaya
  • myininaya
I will be deleting anything I find nasty here. Thanks.
myininaya
  • myininaya
Keep in mind. Discussion is an awesome tool in learning. :)
shubhamsrg
  • shubhamsrg
* :P
shubhamsrg
  • shubhamsrg
though no one asked,,but i guess yahoo is right..
lgbasallote
  • lgbasallote
i suppose one needs to get the speeds first...
ganeshie8
  • ganeshie8
me too i dont see a mistake in the solution
shubhamsrg
  • shubhamsrg
whats the ans in the book ?
shubhamsrg
  • shubhamsrg
and speeds are already given right ?
lgbasallote
  • lgbasallote
ahh i think i get what the question is asking
anonymous
  • anonymous
I got 1128. using a much more complex method.
lgbasallote
  • lgbasallote
hmm maybe I can get an idea from that complex method
lgbasallote
  • lgbasallote
this is a headscratcher
anonymous
  • anonymous
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
lgbasallote
  • lgbasallote
so your answer is 1128 too huh
anonymous
  • anonymous
Yep. It makes complete sense. He napped for 1,128 seconds. in order to finish 3 seconds after tortoise.
lgbasallote
  • lgbasallote
what if the 3 seconds doesn't mean that Achilles finished 3 seconds later?
anonymous
  • anonymous
Oh it does. Because at 1,125 s. Achilles finished right with tortoise. But adding 3 seconds means he finished 3 seconds later.
lgbasallote
  • lgbasallote
i meant 3 seconds can mean that Achilles' running time is 3 more than the tortoise's
anonymous
  • anonymous
No. It doesn't mean that here.
myininaya
  • myininaya
@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.
myininaya
  • myininaya
125/2+nap+125/2 =1253
myininaya
  • myininaya
125+nap=1253
lgbasallote
  • lgbasallote
hmm i'll think about this. this is supposedly a tricky question
ganeshie8
  • ganeshie8
this is tricky only.. i see it now only :) answer must be : 1250 - (62.5+3) bit ambiguous... but okay... ..

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