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13 Jan 2021, 02:00
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D
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Difficulty:
25%
(medium)
Question Stats:
79% (01:46) correct
21%
(02:14)
wrong
based on 253
sessions
History
Date
Time
Result
Not Attempted Yet
Machine x takes 4 hours to complete a job and machine y takes 5 hours to complete the same job. Machine x works alone and completes one-half the job, and then machine x and y together complete the job. How long does it take for the entire job to be completed?
A. 10/9
B. 26/9
C. 3
D. 28/9
E. 29/9
A. 10/9
B. 26/9
C. 3
D. 28/9
E. 29/9
13 Jan 2021, 04:24
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Complete Job by Machine X take 4 hours. Therefore half the job takes 2 hours.
Work done by X and Y together in 1 hour = 1/4 + 1/5 = 9/20.
Therefore time taken to complete it together = 20/9 hours
Time taken to do half the job together = 10/9 hours
Total time taken = 2 + 10/9 = 28/9 hours
Option D
Arun Kumar
Work done by X and Y together in 1 hour = 1/4 + 1/5 = 9/20.
Therefore time taken to complete it together = 20/9 hours
Time taken to do half the job together = 10/9 hours
Total time taken = 2 + 10/9 = 28/9 hours
Option D
Arun Kumar
14 Jan 2021, 01:47
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Using efficiency, the time taken to complete the work is \(\frac{28}{9}\)
Ans D
Ans D
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