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Machine A can make 350 widgets in 1 hour, and machine B can
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19 Apr 2020, 09:04
19 Apr 2020, 09:04
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Question Stats:
82% (01:23) correct
17% (02:09) wrong based on 46 sessions
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?
A) 1 hour and 20 minutes
B) 1 hour and 24 minutes
C) 1 hour and 30 minutes
D)1 hour and 36 minutes
E) 1 hour and 40 minutes
A) 1 hour and 20 minutes
B) 1 hour and 24 minutes
C) 1 hour and 30 minutes
D)1 hour and 36 minutes
E) 1 hour and 40 minutes
Re: Machine A can make 350 widgets in 1 hour, and machine B can
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19 Apr 2020, 11:57
19 Apr 2020, 11:57
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Using the formula of Work = Rate * Time, solve the rate for each of the machines using 60 for Time in this case to determine the number of widgets per hour that can be made.
Machine A: 350 = 60R --> R = 350/60
Machine B: 250 = 60R --> R = 250/60
Combined, how long to make 1000 widgets? Plug in 1000 for W, and for R just add the rates for machine A & B combined.
1000 = (350 / 60 + 250 / 60) * T
1000 = (600 / 60) * T
1000 = 10T
100 = T --> so it takes 100 minutes to make 1000 widgets, which equals 1 hour 40 minutes
Answer is E
Machine A: 350 = 60R --> R = 350/60
Machine B: 250 = 60R --> R = 250/60
Combined, how long to make 1000 widgets? Plug in 1000 for W, and for R just add the rates for machine A & B combined.
1000 = (350 / 60 + 250 / 60) * T
1000 = (600 / 60) * T
1000 = 10T
100 = T --> so it takes 100 minutes to make 1000 widgets, which equals 1 hour 40 minutes
Answer is E
Re: Machine A can make 350 widgets in 1 hour, and machine B can
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24 Apr 2020, 03:05
24 Apr 2020, 03:05
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Number of widgets by Machine A in 1 hour = 350
Number of widgets by Machine B in 1 hour = 250
If both machines work together then number of widgets in 1 hour = #Widgets by A + #Widgets by B = 350 + 250 = 600
Number of minutes required to make 600 widgets by both machines together = 60
Number of minutes requires to make 1000 widgets by both machines = \(\frac{(1000 *60)}{600}\) = 100 minutes = 1 hour 40 mins
Answer is E
Number of widgets by Machine B in 1 hour = 250
If both machines work together then number of widgets in 1 hour = #Widgets by A + #Widgets by B = 350 + 250 = 600
Number of minutes required to make 600 widgets by both machines together = 60
Number of minutes requires to make 1000 widgets by both machines = \(\frac{(1000 *60)}{600}\) = 100 minutes = 1 hour 40 mins
Answer is E
