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 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
 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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Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.4T(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
 2 years ago
Best ResponseYou've already chosen the best response.0i don't think that's right.....

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0what's that 625 on the first line by the way?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i doubt this is that simple

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.08(1253x)=1000 x=1128 seconds Looks correct to me.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0you do know i asked how long Achilles slept and not how long Achilles was running...right?

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0x is the time for which Achilles sleeps...... So, 1253x gives how long he ran.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm then that's not right

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0like i said...it's not simple

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0the question is...what's the right solution...

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.4@lgbasallote which part Do u think...i made a Mistake...

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0why are you asking me? i'm the asker here...you tell me....

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0because you think you're right?

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.4Toto took 1250s To cover 1000m.... right.?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0no need to explain to me your solution..i get it

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0..it's the book that says it's wrong..not me

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Did 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
 2 years ago
Best ResponseYou've already chosen the best response.1I will be deleting anything I find nasty here. Thanks.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Keep in mind. Discussion is an awesome tool in learning. :)

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0though no one asked,,but i guess yahoo is right..

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i suppose one needs to get the speeds first...

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0me too i dont see a mistake in the solution

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0whats the ans in the book ?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0and speeds are already given right ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0ahh i think i get what the question is asking

alexyn
 2 years ago
Best ResponseYou've already chosen the best response.0I got 1128. using a much more complex method.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm maybe I can get an idea from that complex method

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0this is a headscratcher

alexyn
 2 years ago
Best ResponseYou've already chosen the best response.0Alright. 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
 2 years ago
Best ResponseYou've already chosen the best response.0so your answer is 1128 too huh

alexyn
 2 years ago
Best ResponseYou've already chosen the best response.0Yep. It makes complete sense. He napped for 1,128 seconds. in order to finish 3 seconds after tortoise.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0what if the 3 seconds doesn't mean that Achilles finished 3 seconds later?

alexyn
 2 years ago
Best ResponseYou've already chosen the best response.0Oh it does. Because at 1,125 s. Achilles finished right with tortoise. But adding 3 seconds means he finished 3 seconds later.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i meant 3 seconds can mean that Achilles' running time is 3 more than the tortoise's

alexyn
 2 years ago
Best ResponseYou've already chosen the best response.0No. It doesn't mean that here.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1@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
 2 years ago
Best ResponseYou've already chosen the best response.1125/2+nap+125/2 =1253

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm i'll think about this. this is supposedly a tricky question

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0this is tricky only.. i see it now only :) answer must be : 1250  (62.5+3) bit ambiguous... but okay... ..
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