Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
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

This Question is Closed

Yahoo!Best ResponseYou've already chosen the best response.4
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

lgbasalloteBest ResponseYou've already chosen the best response.0
i don't think that's right.....
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
what's that 625 on the first line by the way?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i doubt this is that simple
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
8(1253x)=1000 x=1128 seconds Looks correct to me.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
you do know i asked how long Achilles slept and not how long Achilles was running...right?
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
x is the time for which Achilles sleeps...... So, 1253x gives how long he ran.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm then that's not right
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
like i said...it's not simple
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
the question is...what's the right solution...
 one year ago

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

lgbasalloteBest ResponseYou've already chosen the best response.0
why are you asking me? i'm the asker here...you tell me....
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
because you think you're right?
 one year ago

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

lgbasalloteBest ResponseYou've already chosen the best response.0
no need to explain to me your solution..i get it
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
..it's the book that says it's wrong..not me
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
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

myininayaBest ResponseYou've already chosen the best response.1
I will be deleting anything I find nasty here. Thanks.
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
Keep in mind. Discussion is an awesome tool in learning. :)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
though no one asked,,but i guess yahoo is right..
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i suppose one needs to get the speeds first...
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
me too i dont see a mistake in the solution
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
whats the ans in the book ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
and speeds are already given right ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
ahh i think i get what the question is asking
 one year ago

alexynBest ResponseYou've already chosen the best response.0
I got 1128. using a much more complex method.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm maybe I can get an idea from that complex method
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
this is a headscratcher
 one year ago

alexynBest ResponseYou've already chosen the best response.0
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

lgbasalloteBest ResponseYou've already chosen the best response.0
so your answer is 1128 too huh
 one year ago

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

lgbasalloteBest ResponseYou've already chosen the best response.0
what if the 3 seconds doesn't mean that Achilles finished 3 seconds later?
 one year ago

alexynBest ResponseYou've already chosen the best response.0
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

lgbasalloteBest ResponseYou've already chosen the best response.0
i meant 3 seconds can mean that Achilles' running time is 3 more than the tortoise's
 one year ago

alexynBest ResponseYou've already chosen the best response.0
No. It doesn't mean that here.
 one year ago

myininayaBest 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.
 one year ago

myininayaBest ResponseYou've already chosen the best response.1
125/2+nap+125/2 =1253
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm i'll think about this. this is supposedly a tricky question
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
this is tricky only.. i see it now only :) answer must be : 1250  (62.5+3) bit ambiguous... but okay... ..
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.