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A machine puts c caps on bottles in m minutes. How many hour

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Manager
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A machine puts c caps on bottles in m minutes. How many hour [#permalink] New post 20 Mar 2013, 17:13
00:00
A
B
C
D
E

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59% (02:11) correct 40% (01:19) wrong based on 96 sessions
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

A. 60bm/c
B. bm/60c
C. bc/60m
D. 60b/cm
E. b/60cm

guys this is how i got to solve the above problem;i found at the rate at which the machine produces a bottle in the said minutes hence c/m.time eqauls work done over rate;in that case,b/c/60m=60bm/c...following my algorithm,i got option A for an answer yet the problem holds B for an answer.what could possibly go wrong?
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Mar 2013, 02:25, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A machine puts c caps on bottles [#permalink] New post 20 Mar 2013, 17:44
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The machine puts c caps in m minutes or c caps in m/60 hours.
Rate = c/m/60 = 60c/m.
To put b caps the machine will take:-
Time = Work/Rate
T = b/60c/m = bm/60c
Answer is B.
In your algorithm, by mistake you converted minutes into hours by multiplying minutes with 60, you should have divided minutes by 60.

Please give a kudo if you like my explanation.
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Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink] New post 21 Mar 2013, 03:28
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Expert's post
chiccufrazer1 wrote:
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

A. 60bm/c
B. bm/60c
C. bc/60m
D. 60b/cm
E. b/60cm

guys this is how i got to solve the above problem;i found at the rate at which the machine produces a bottle in the said minutes hence c/m.time eqauls work done over rate;in that case,b/c/60m=60bm/c...following my algorithm,i got option A for an answer yet the problem holds B for an answer.what could possibly go wrong?


A machine puts c caps on bottles in m minutes --> the rate of the machine is (rate) = (job)/(time) = c/m cap/minute.

The time needed to put caps on b bottles (time) = (job)/(rate) = b/(c/m) minutes = bm/c minutes = bm/(60c) hours.

Answer: B.
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Manager
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Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink] New post 21 Mar 2013, 08:42
Fantastic

The answer is B.

Word problem. We need to get to find out the unit (how much in 1 type) to get to the answer!
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Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink] New post 01 Feb 2014, 08:16
chiccufrazer1 wrote:
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

A. 60bm/c
B. bm/60c
C. bc/60m
D. 60b/cm
E. b/60cm

guys this is how i got to solve the above problem;i found at the rate at which the machine produces a bottle in the said minutes hence c/m.time eqauls work done over rate;in that case,b/c/60m=60bm/c...following my algorithm,i got option A for an answer yet the problem holds B for an answer.what could possibly go wrong?


A machine puts c caps in m minutes per bottle. How many hours will it take to put caps on b bottles?

I think this wording is more clear

Cheers
J
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Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink] New post 28 Mar 2014, 23:48
jlgdr wrote:
chiccufrazer1 wrote:
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?

A. 60bm/c
B. bm/60c
C. bc/60m
D. 60b/cm
E. b/60cm

guys this is how i got to solve the above problem;i found at the rate at which the machine produces a bottle in the said minutes hence c/m.time eqauls work done over rate;in that case,b/c/60m=60bm/c...following my algorithm,i got option A for an answer yet the problem holds B for an answer.what could possibly go wrong?


A machine puts c caps in m minutes per bottle. How many hours will it take to put caps on b bottles?

I think this wording is more clear

Cheers
J


Hi there,

IMHO the wording is already clear since 1 cap can be per bottle only it cannot be the case that 3 caps are on 1 bottle.

'C' Caps ---> 'm' minutes

1 Cap/bottle ---> m/c minutes

b bottle ---> mb/c minutes

mb/60 c
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Re: A machine puts c caps on bottles in m minutes. How many hour   [#permalink] 28 Mar 2014, 23:48
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