An ant is crawling at a rate of one foot per minute along a strip of rubber which can be infinitely and uniformly stretched. The strip is initially one yard long and one inch wide and is stretched an additional yard at the end of each minute. If the ant starts at one end of the strip of rubber, will it ever reach the other end, and if so when? |
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I tried this qn n according to my calculations, the ant will never reach the other end....
is it correct?? if so, then i'll tell u the detailed explaination. tell me soon !!!!
Yes the answer is correct "the ant will never reach the other end"
but i dont have any solution/explanation
c... i'll tell u my explaination
Let X= Length of Strip
Y= distance travelled by ant on strip
Z= Remaining distance
Ant will reach the other end only when Z=0..
Since 1 yard =3 feet, Hence
Initially X=3,
Now Y=1 & Z=2 in 1st min....
As at the end of each min, the strip is stretched by 1 yard (3 feet), so now
X=5, Y=1 & Z=4 in 2nd min
Again at the end of 2nd min, the strip is stretched by 1 yard (3 feet), so now
X=7, Y=1 & Z=6 in 3rd min...and so on...
Hence Z will never be equal to 0...so ant will never reach the other end.
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