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# It takes Computer A 36 hours to process data. If Computer A starts wor

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Intern
Joined: 18 Jul 2008
Posts: 32
It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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07 Aug 2008, 21:31
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00:00

Difficulty:

45% (medium)

Question Stats:

70% (02:22) correct 30% (02:38) wrong based on 346 sessions

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It takes Computer A 36 hours to process data. If Computer A starts working at 7 pm on Monday and after half the data are processed Computer B, three times as fast as Computer A, joins in the task, when will the data processing be finished?

A. 4:30 pm Tuesday
B. 5:30 pm Tuesday
C. 7:00 pm Tuesday
D. 8:30 pm Tuesday
E. 10:30 pm Tuesday

M18-12
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Location: India
Concentration: General Management, Technology
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Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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12 Nov 2014, 01:25
5
2
Rate of Computer A = $$\frac{1}{36}$$

Rate of Computer B = $$\frac{1}{12}$$

$$\frac{1}{2}$$ Job completed by Computer A alone; means time consumed by Computer A $$= \frac{1}{2} * 36 = 18$$ Hrs

Combined rate of A & B $$= (\frac{1}{36} + \frac{1}{12}) = \frac{1}{9}$$

Time required to complete remaining $$\frac{1}{2}$$ Job $$= \frac{1}{2} * \frac{9}{1} = 4.5 Hrs$$

Total Time required to complete job = 18 + 4.5 = 22.5 Hrs

24 Hrs is SAME TIME next day, so 22.5 Hrs would be

7PM Tuesday - 1.5 Hrs = 5:30 PM Tuesday

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Manager
Joined: 21 Feb 2008
Posts: 56
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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07 Aug 2008, 21:40
mba9now wrote:
It would take Computer A 36 hours to process the data. If Computer A starts working at 7 pm on Monday and after half the data is processed Computer B, three times as fast as Computer A, is joined in the task, when will the data processing be finished?

4:30 pm Tuesday
5:30 pm Tuesday
7:00 pm Tuesday
8:30 pm Tuesday
10:30 pm Tuesday

comp A takes 36h and comp B takes 12h

comp A starts at 7pm on monday, processes half the data so it finishes at 7pm+(36/2)h which is 1pm on tuesday. Comp B takes up the next half so it finishes at 1pm+(12/2)h=7pm on Tuesday
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Intern
Joined: 06 Aug 2008
Posts: 2
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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07 Aug 2008, 21:54
The answer is B (5:30 PM Tuesday). Becasue it is said that Comp B joins A, never says only B did the work alone.
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Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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08 Aug 2008, 07:42
2
1
mba9now wrote:
It would take Computer A 36 hours to process the data. If Computer A starts working at 7 pm on Monday and after half the data is processed Computer B, three times as fast as Computer A, is joined in the task, when will the data processing be finished?

4:30 pm Tuesday
5:30 pm Tuesday
7:00 pm Tuesday
8:30 pm Tuesday
10:30 pm Tuesday

computer A take 36 hr
computer B takes 12 hr

18 hrs (half job done by computer) + Half job dont by both
= 18 hrs + 18 / (3+1) = 22.5 hrs.

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Joined: 17 Jun 2008
Posts: 1204
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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08 Aug 2008, 20:17
2
mba9now wrote:
It would take Computer A 36 hours to process the data. If Computer A starts working at 7 pm on Monday and after half the data is processed Computer B, three times as fast as Computer A, is joined in the task, when will the data processing be finished?

4:30 pm Tuesday
5:30 pm Tuesday
7:00 pm Tuesday
8:30 pm Tuesday
10:30 pm Tuesday

work done by A in one hr = w/36
by B in 1 hr=w/12
by both in 1 hr=w/12 + w/36=w/9

hence half the work is already done by A in 18 hrs

half the work w/2 is to be done by both hence time talken is w/2/w/9=9/2=4.5 hrs
total time taken is 18+4.5 hrs=22.5 hrs
IMO B
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Posts: 374
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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08 Aug 2008, 22:07
mba9now wrote:
It would take Computer A 36 hours to process the data. If Computer A starts working at 7 pm on Monday and after half the data is processed Computer B, three times as fast as Computer A, is joined in the task, when will the data processing be finished?

4:30 pm Tuesday
5:30 pm Tuesday
7:00 pm Tuesday
8:30 pm Tuesday
10:30 pm Tuesday

Total hrs = 18 + Hours required to do half job = 18 + (18*6)/24 = 22.5 hrs = 5:30pm Tue
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Joined: 02 Sep 2009
Posts: 52297
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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10 Nov 2014, 01:38
It takes Computer A 36 hours to process data. If Computer A starts working at 7 pm on Monday and after half the data are processed Computer B, three times as fast as Computer A, joins in the task, when will the data processing be finished?

A. 4:30 pm Tuesday
B. 5:30 pm Tuesday
C. 7:00 pm Tuesday
D. 8:30 pm Tuesday
E. 10:30 pm Tuesday

Computer A will process the first half of the data in 18 hours. Computer A and Computer B working together will process the remaining half four times quicker than will Computer A working alone. The entire task will require $$18 + \frac{18}{4} = 22.5$$ hours which is 1.5 hours short of the 24-hour cycle. If the processing commences at 7 pm on Monday, it will finish at 5:30 pm on Tuesday.

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Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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20 Dec 2015, 10:46
A= 1/36
B= 1/12 ( Ratio is 3:1 )

A+B= 1/9

HALF WORK DONE BY A only
w=r*t
1/2 = 1/36*t
t= 18 hrs

Rest work done by A & B together

w=r*T
1/2 = 1/9*T
T= 4.5 hrs

Total Time= t+T

18+ 4.5 hrs = 22.5 hrs

Count from 7 pm Monday, answer is 5:30 pm Tuesday
Intern
Joined: 12 Nov 2015
Posts: 47
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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20 Dec 2015, 21:18
Step wise:

A: 36 hours
B: 12 hours ( 3 times faster)

after half work done: 18 hours

W/2 left: Now W work can be done by both machines in 12*36/48 = 9 hours. So, W/2 cqan be done in 4.5 hours.

Total = 22.5 hours
Intern
Joined: 12 Nov 2015
Posts: 47
Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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20 Dec 2015, 21:20
x2suresh wrote:
mba9now wrote:
It would take Computer A 36 hours to process the data. If Computer A starts working at 7 pm on Monday and after half the data is processed Computer B, three times as fast as Computer A, is joined in the task, when will the data processing be finished?

4:30 pm Tuesday
5:30 pm Tuesday
7:00 pm Tuesday
8:30 pm Tuesday
10:30 pm Tuesday

computer A take 36 hr
computer B takes 12 hr

18 hrs (half job done by computer) + Half job dont by both
= 18 hrs + 18 / (3+1) = 22.5 hrs.

Hey, can you please explain how did you get 18/3+1 ?
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Re: It takes Computer A 36 hours to process data. If Computer A starts wor  [#permalink]

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12 May 2018, 02:22
mba9now wrote:
It takes Computer A 36 hours to process data. If Computer A starts working at 7 pm on Monday and after half the data are processed Computer B, three times as fast as Computer A, joins in the task, when will the data processing be finished?

A. 4:30 pm Tuesday
B. 5:30 pm Tuesday
C. 7:00 pm Tuesday
D. 8:30 pm Tuesday
E. 10:30 pm Tuesday

M18-12

"R" stands for rate

R(A) = 1/36

Time taken to complete half the job = 18 hours

R(B) = 1/12 (given)

Job left after 18 hrs = 1/2

(Combined rate)* T = 1/2

1/36 + 1/12 * T = 1/2

1/9 * T = 1/2

T = 4.5

Total time = 18 + 4.5 = 22.5

7 p.m. Monday + 22.5 hrs

5:30 pm Tuesday

(B)

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Re: It takes Computer A 36 hours to process data. If Computer A starts wor &nbs [#permalink] 12 May 2018, 02:22
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