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23 Sep 2023, 15:22
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:39) correct
19%
(02:27)
wrong
based on 194
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Time
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Machine A, Machine B, and Machine C can complete a task in 5, 10, and 20 days, respectively. How many Machine Cs must assist 2 Machine As and 4 Machine Bs for them to complete the task in 1 day?
A. 1
B. 2
C. 3
D. 4
E. 8
A. 1
B. 2
C. 3
D. 4
E. 8
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23 Sep 2023, 22:03
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Total= 60 unit
Lcm of 5, 10, 20
Efficiency of
A= 60/5 = 12 unit
B = 6 unit
C= 3 unit
Atq, (2*12+4*6)+x*3 =60
X=4✅✅
Posted from my mobile device
Lcm of 5, 10, 20
Efficiency of
A= 60/5 = 12 unit
B = 6 unit
C= 3 unit
Atq, (2*12+4*6)+x*3 =60
X=4✅✅
Posted from my mobile device
23 Sep 2023, 22:54
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Bunuel
Let's assume that the total task = 20 units.
- Rate of Machine A = 20/5 = 4 units / day
- Rate of Machine B = 20/10 = 2 units / day
- Rate of Machine C = 20/20 = 1 units / day
As the task needs to be completed in 1 day, 20 units of work must be completed by the three machines in 1 day.
Units of work that can be done by 2 Machine As and 4 Machine Bs = 2*4 + 4*2 = 16 units.
The remaining (20 - 16 =) 4 units of work must be done by Machine C. As each Machine C does 1 unit of work per day, we need 4 Machine Cs to complete the work.
Option D
