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Three machines, K, M, and P, working simultaneously and [#permalink]
04 Sep 2011, 08:45

00:00

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Difficulty:

25% (low)

Question Stats:

75% (01:35) correct
24% (00:53) wrong based on 73 sessions

Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?

(1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes. (2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.

Re: Three machines working in parallel [#permalink]
04 Sep 2011, 09:18

buddy... in the exam you wouldnt want to actually sit and <solve> such problems. In some DS questions u can conclude without actually solving them... this is one such type of a problem

if u really want a detailed explanation, here it is...

let mc K do the task individually in k mins similarly P in p mins and M in m mins

so K's work in 1 min is 1/k M's work similarly is 1/m and P's is 1/p

since working together they can complete the work in 24 mins, they complete 1/24th work in 1 min

= > 1/k + 1/m + 1/p = 1/24 ------ (1)

the remainder of the part, is pretty much the same as Depaulian has suggested. hence ans is A

Re: Three machines working in parallel [#permalink]
07 Dec 2011, 22:16

viks4gmat wrote:

buddy... in the exam you wouldnt want to actually sit and <solve> such problems. In some DS questions u can conclude without actually solving them... this is one such type of a problem

if u really want a detailed explanation, here it is...

let mc K do the task individually in k mins similarly P in p mins and M in m mins

so K's work in 1 min is 1/k M's work similarly is 1/m and P's is 1/p

since working together they can complete the work in 24 mins, they complete 1/24th work in 1 min

= > 1/k + 1/m + 1/p = 1/24 ------ (1)

the remainder of the part, is pretty much the same as Depaulian has suggested. hence ans is A

Re: Three machines, K, M, and P, working simultaneously and [#permalink]
08 Dec 2011, 06:25

1/k+1/M+1/p=1/24. K=?

Statement 1: we have value for 1/M+1/P. Can solve for K. Sufficient. Statement 2: we have value for 1/K+1/P. Can solve for M but not for K. Not sufficient.

gmatclubot

Re: Three machines, K, M, and P, working simultaneously and
[#permalink]
08 Dec 2011, 06:25