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28 Apr 2025, 05:27
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Difficulty:
65%
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Question Stats:
69% (03:11) correct
31%
(02:12)
wrong
based on 29
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A factory has two machines, Machine A and Machine B, producing widgets. Machine A can produce 100 widgets in 5 hours, while Machine B can produce 100 widgets in 8 hours. If both machines work together, how long will it take them to produce 300 widgets?
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours
E) 7 hours
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours
E) 7 hours
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29 Apr 2025, 07:22
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smithgmat123
If both machines work together then to produce \(100\) widgets, they would take \(\frac{1}{5}+ \frac{1}{8} = \frac{13}{40} \)
Thus time taken would be \(\frac{40}{13}\)
For \(300\) Widgets , time taken \(\frac{40}{13}*3 = \frac{120}{13} \)
Not among the options.
Unless I have missed something, kindly check. Thank you.
29 Apr 2025, 14:12
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Combined rate of A+B= (100/5)+(100/8)=(130/4)
For producing 300 widgets, Required time = 300/(130/4)=30*4/13=120/13 hrs =9 hrs approx
For producing 300 widgets, Required time = 300/(130/4)=30*4/13=120/13 hrs =9 hrs approx
