GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 07 Jul 2020, 11:19

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A machine puts c caps on bottles in m minutes. How many hours will it

Author Message
TAGS:

### Hide Tags

Manager
Joined: 12 Mar 2012
Posts: 77
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

20 Mar 2013, 17:44
4
1
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:23) correct 38% (01:50) wrong based on 273 sessions

### HideShow timer Statistics

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)
Math Expert
Joined: 02 Sep 2009
Posts: 65062
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

16 May 2016, 01:45
11
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)

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.

_________________
##### General Discussion
Manager
Joined: 25 Apr 2014
Posts: 90
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

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)

So, (1 *m/60 *1)/c = (1* x* 1)/b
=> (m/60)/c = x/b
Therefore,
=> x= bm/60c.

P.S. Please let me know if anything went wrong as this is my first post as a solution.
Manager
Joined: 12 Jun 2015
Posts: 74
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

16 May 2016, 02:05
3
A machine puts c caps on bottles in m minutes.
So, the machine puts 1 cap in m/c minutes

To put caps on b bottles, the machine will take bm/c minutes
In order to calculate the no. of hours taken , divide the product by 60.

Intern
Joined: 06 May 2016
Posts: 14
WE: Education (Education)
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

16 May 2016, 04:27
1
The key for me is to realise that 1 bottle can only have 1 cap.
(ie bottles can be multiplied with minutes/cap and cancel out leaving only time)

Without that it seems super difficult but actually is a very straightforward calculation.
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2471
Concentration: Operations, Strategy
Schools: Erasmus
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

17 May 2016, 04:23
We can plug in simple numbers

2 caps per 1 min,, then rate= 2 caper/min

Put b= 120 or 60 bottles.. I used 120 bottles

120= 2 * t.....>t=60 min =1 hr

Scanning the answer choice.. Eliminate A & D as you need to divide minute by 60.
Eliminate E as CM should be together.

Substitute number in choice B & C

In bm/60c= (120*1)/ (2 *60) = 1

Manager
Joined: 01 Nov 2016
Posts: 56
Concentration: Technology, Operations
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

24 Apr 2017, 14:07
Bunuel 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

A machine puts c caps on bottles in M minutes. A bottle can only have 1 cap, so this means that in M minutes, the machine will cap C bottles

$$\frac{M minutes}{C bottles}$$

How many hours will it take to put caps on B bottles? This is a comparison ratio:

$$\frac{M minute}{C bottles}$$ * $$\frac{1 hour}{60 minutes}$$ = $$\frac{X hours}{B bottles}$$

This becomes:

$$\frac{(M minute)(B bottles)(1 hour)}{(C bottles)(60 minutes)}$$ = $$x hours$$

Simplify to:

$$\frac{mb}{60c}$$ = $$x hours$$

This question's only difficulty is seeing that they want you to do a comparison between c bottles and b bottles. They intentionally made the letters confusing for those that could only see b should stand for bottles.
VP
Joined: 07 Dec 2014
Posts: 1259
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

12 Jun 2017, 18:46
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

bottling rate=c/m
minutes to cap b bottles=b/(c/m)=bm/c
hours to cap b bottles=(bm/c)/60=bm/60c
B
Senior Manager
Status: Studying 4Gmat
Joined: 02 Jan 2016
Posts: 360
Location: India
Concentration: Strategy, Entrepreneurship
GMAT 1: 590 Q37 V33
GPA: 4
WE: Law (Manufacturing)
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

03 Aug 2018, 20:35
Rate Time = Work
C/M M C

C/M x = B

So, (RT = W); X*C/M = B; BM/C this is in Hours, therefore BM/C/60= BM/C60
_________________
Regards,
Hero1kF

My glory is greater than my life.
Manager
Joined: 06 Nov 2016
Posts: 53
Location: Viet Nam
GPA: 3.54
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

03 Aug 2018, 20:59
Bunuel 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)

my approach:

we have : c caps --> m minutes
therefore b caps --> $$\frac{(b*m)}{c}$$ minutes

And : 60 minutes = 1 hour
so: $$\frac{(b*m)}{c}$$ minutes = $$\frac{(b*m)}{(c*60)}$$ hours

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 15386
Re: A machine puts c caps on bottles in m minutes. How many hours will it  [#permalink]

### Show Tags

04 Jun 2020, 15:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A machine puts c caps on bottles in m minutes. How many hours will it   [#permalink] 04 Jun 2020, 15:42