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A machine puts c caps on bottles in m minutes. How many hour [#permalink]
20 Mar 2013, 17:13

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

62% (02:08) correct
38% (01:15) wrong based on 142 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?

Re: A machine puts c caps on bottles [#permalink]
20 Mar 2013, 17:44

3

This post received KUDOS

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.

Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink]
21 Mar 2013, 03:28

1

This post received KUDOS

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.

Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink]
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?

Re: A machine puts c caps on bottles in m minutes. How many hour [#permalink]
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 _________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

A machine puts c caps on bottles in m minutes. How many hour [#permalink]
25 Jun 2014, 20:24

Either we can fix it with the help of a small formula which is : (M1 * D1 * H1)/ W1 = (M2 * D2 * H2)/ W2 where M , D and H stands for Men, Days and Hours invested for each of the 2 Works respectively.

So here it goes: M1= 1 (as we are not given the value) D1 = m/60 (in hrs) H1 = 1 (as we are not given the value) and W1 = c

and

M2 = 1 (as we are not given the value) D2 = x (in hrs) (to be found out) H2 = 1 (as we are not given the value) and W2 = b (as given)

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