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05 Nov 2018, 11:36
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Difficulty:
75%
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Question Stats:
62% (03:14) correct
38%
(03:29)
wrong
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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
a. 1,440
b. 1,620
c. 1,680
d. 1,920
e. 2,160
21 Dec 2018, 04:20
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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
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
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
a. 1,440
b. 1,620
c. 1,680
d. 1,920
e. 2,160
21 Dec 2018, 08:12
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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
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
