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A company uses 2 machines to fill an order for 3,360 bottle caps. Mach

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A company uses 2 machines to fill an order for 3,360 bottle caps. Mach  [#permalink]

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New post 05 Nov 2018, 11:36
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Difficulty:

  75% (hard)

Question Stats:

59% (03:13) correct 41% (03:24) wrong based on 198 sessions

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A company uses 2 machines to fill an order for 3,360 bottle caps. Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours before it must undergo a 3-hour recalibration procedure. Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours before it must undergo a 2-hour recalibration procedure. If both machines begin working at the same time, and are working whenever they are not being recalibrated, then how many of the 3,360 bottle caps are made by machine B ?

a. 1,440

b. 1,620

c. 1,680

d. 1,920

e. 2,160

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Re: A company uses 2 machines to fill an order for 3,360 bottle caps. Mach  [#permalink]

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New post 21 Dec 2018, 04:20
good question, solving under 2 mins is surely a task for this question where in so much info is given...


from the given details we can say that rate of machine A per hour is 180 and B 240

so lets say that both machines start off at same time:

so 1 to 4 hours : work of A + B = (180+240) * 4= 1680 caps

now from 5th,6th & 7th hrs machine A is off for calibration and 5th & 6th hr machine in 7th hr machine B starts off again and makes 240 caps more

total now is 1680+240 = 1920

starting 8th hour both A & B start working together but condition that B would work till 10th hour only..

8th hour A & B = 180+ 240 = 420 + 1920 = 2340
9th hour A & B= 420 + 2340 = 2760
10th hour A & B = 420 + 2760 = 3180
11th hour only A works = 180 + 3180 = 3360

so machine B has made :
240 * 8 hrs of total work = 1920 caps

IMO D





AkshdeepS wrote:
A company uses 2 machines to fill an order for 3,360 bottle caps. Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours before it must undergo a 3-hour recalibration procedure. Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours before it must undergo a 2-hour recalibration procedure. If both machines begin working at the same time, and are working whenever they are not being recalibrated, then how many of the 3,360 bottle caps are made by machine B ?

a. 1,440

b. 1,620

c. 1,680

d. 1,920

e. 2,160

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Re: A company uses 2 machines to fill an order for 3,360 bottle caps. Mach  [#permalink]

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New post 21 Dec 2018, 08:12
Machine A in 1 hr : 180 caps
Machine B in 1 hr : 240 caps
A works 4 hours followed by 3 hr down period and so on
B works 4 hours followed by 2 hr down period and so on
Hr 1-4 A and B work and produce (180+240)*4 = 1680 caps
Hr 5-6 Neither works
Hr 7 B alone works and produces 240 caps
Hr 8-10 A and B work and produce (180+240)*3 =1260 caps
By now Total 1680 + 240 + 1260 = 3180 caps have been produced
Hr 11 A alone works and produces the remaining 180 caps
(Note : Total Requirement = 3360 caps)

It can be seen that Machine B works for a total of 8 hours
It produces 240*8 = 1920 caps

Choice D
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Re: A company uses 2 machines to fill an order for 3,360 bottle caps. Mach  [#permalink]

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New post 03 Jan 2019, 06:32
AkshdeepS wrote:
A company uses 2 machines to fill an order for 3,360 bottle caps. Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours before it must undergo a 3-hour recalibration procedure. Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours before it must undergo a 2-hour recalibration procedure. If both machines begin working at the same time, and are working whenever they are not being recalibrated, then how many of the 3,360 bottle caps are made by machine B ?

a. 1,440

b. 1,620

c. 1,680

d. 1,920

e. 2,160


Bunuel is there any fast way to solve this??
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Re: A company uses 2 machines to fill an order for 3,360 bottle caps. Mach  [#permalink]

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New post 12 Jan 2019, 04:17
shashigmat1988 wrote:
AkshdeepS wrote:
A company uses 2 machines to fill an order for 3,360 bottle caps. Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours before it must undergo a 3-hour recalibration procedure. Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours before it must undergo a 2-hour recalibration procedure. If both machines begin working at the same time, and are working whenever they are not being recalibrated, then how many of the 3,360 bottle caps are made by machine B ?

a. 1,440

b. 1,620

c. 1,680

d. 1,920

e. 2,160


is there any fast way to solve this??


If you feel you will not succeed to solve this question in 2mn, my tip is to notice that machine B produce more bottle caps in 4h than machine A and has a lower time of calibration therefore you can deduce that it will produce more than machine A so more than 3360/2=1680. Therefore, only D and E remain. Then between D and E, or you pick one randomly and you have luck, or you feel that rate of machine A is not so lower than B and therefore answer D makes more sense.
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Re: A company uses 2 machines to fill an order for 3,360 bottle caps. Mach   [#permalink] 12 Jan 2019, 04:17
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