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04 Apr 2017, 04:51
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
86% (01:46) correct
14%
(02:05)
wrong
based on 171
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Three machines, A, B, and C, can complete a certain task in 10 hours, 4 hours, and 5 hours respectively. If all 3 machines worked together for 1 hour and then stop, how many hours does it take machine C to complete the job?
A. 4/5
B. 9/4
C. 11/4
D. 4
E. 13/2
A. 4/5
B. 9/4
C. 11/4
D. 4
E. 13/2
04 Apr 2017, 07:34
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In one hour three machines can complete (1/10 + 1/4 + 1/5) = 11/20 of the work
Work remaining = 9/20
(1/5)*x = 9/20
x = 9/4
Answer: B
Work remaining = 9/20
(1/5)*x = 9/20
x = 9/4
Answer: B
04 Apr 2017, 08:21
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The first machine(A) completed 10% ( 1/10 meaning 10 hours is 100% completion so 1 hour is 10% of it.
The second machine (B) completed 25% (1/4 meaning 4 hours is 100% completion so 1 hour is 25% completion )
The third machine (C) completed 20% (1/5)
Therefore, total completion is 10% + 25% + 20% = 55%
Percentage left for completion is 45% to be done by machine C
We can now use proportion.
100% ---- 5 hours
45% ---- X hours
Where X means unknown. )
(Consequently, we cross multiple the above)
100X = 45x5
100X = 225
X = 225/100 X = 9/4 or 2.25 or. 2 1/4
Posted from my mobile device
The second machine (B) completed 25% (1/4 meaning 4 hours is 100% completion so 1 hour is 25% completion )
The third machine (C) completed 20% (1/5)
Therefore, total completion is 10% + 25% + 20% = 55%
Percentage left for completion is 45% to be done by machine C
We can now use proportion.
100% ---- 5 hours
45% ---- X hours
Where X means unknown. )
(Consequently, we cross multiple the above)
100X = 45x5
100X = 225
X = 225/100 X = 9/4 or 2.25 or. 2 1/4
Posted from my mobile device
