Latest Elitmus Aptitude Question SOLUTION: There are m pipes from 1 to m..such that tge speed at which it fills a pool alone is equal to the time taken by other m-1 pipes(not for m=1)..suppose time taken by 9 pipe is 40min

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(#M40034450) ELITMUS Numerical Ability question find the time taken? Keep an EYE

There are m pipes from 1 to m..such that tge speed at which it fills a pool alone is equal to the time taken by other m-1 pipes(not for m=1)..suppose time taken by 9 pipe is 40min when filled alone..what would be the time taken if pipe no. 12 and 13 fill together..??

Asked In Elitmus DUGGS (10 years ago)

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Vivek Jain  (10 years ago)

using Efficiency consept..
1/T9=1/40, given
=>1/T9=1/T8 + 1/T7 +.......+ 1/T1 = 1/40
=>1/T10=1/T9 + (1/T8 + 1/T7 +.......+ 1/T1) = 1/40+1/40
=>1/T11=1/T10 + 1/T9 + 1/T8 + 1/T7 +.......+ 1/T1 = 1/20 + 1/20
=>1/T12=1/T11 + 1/T10 + 1/T9 + 1/T8 + 1/T7 +.......+ 1/T1 =1/10 + 1/10
=>1/T13=1/T12 + 1/T11 + 1/T10 + 1/T9 + 1/T8 + 1/T7 +.......+ 1/T1 =1/5 + 1/5
now, time taken by pipe no. 12 & 13 will be given by
1/T12 + 1/T13 = 1/5 + 2/5 =3/5
Hence,time = 5/3 =1.66min

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PANKAJ SINGH BIRORIA  (9 years ago)

let t1, t2...t8 r d time taken by the correponding pipes individually.
9 pipes-> 40 min= 10th pipe seperately
1/t1 +1/t2... +1/t9= 1/40
10 pipes-> 1/40 +1/40= 1/20 =11th pipe sep.
11 pipes-> 1/20+ 1/20=1/10 =12th pipe
12 pipes-> 1/10+1/10=1/5 =13th pipe
so 12th & 13th together= 1/10+ 1/5=3/10
means 10/3=3.33 min.

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shree  (10 years ago)

12, 13 will take only 20.20 mintes to fill the pool.

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vishal kumar  (8 years ago)

Does any body remember options of this question

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