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02 Nov 2021, 04:15
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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:
25%
(medium)
Question Stats:
78% (02:15) correct
22%
(02:46)
wrong
based on 280
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Working alone, machines A, B and C can complete a task in 6, 12 and 18 hours respectively. All three machines are started together to complete the task but machine A is switched off after 2 hours and machine B is also switched off after another 2 hours. Machine C completes the remaining task. How much more time does machine C take to complete the task?
A. 30 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 4 hours
E. 4 hours 30 minutes
A. 30 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 4 hours
E. 4 hours 30 minutes
03 Nov 2021, 10:23
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A: Does \(\frac{1}{6}\) of the job in an hour.
B: Does \(\frac{1}{12}\) of the job in an hour.
C: Does \(\frac{1}{18}\) of the job in an hour.
Make them all have a common denominator of 36 changes them to:
A: \(\frac{6}{36}\) of the job in an hour.
B: \(\frac{3}{36}\) of the job in an hour.
C: \(\frac{2}{36}\) of the job in an hour.
A, B & C working for 2 hours before A stops: \(\frac{12}{36}+\frac{6}{36}+\frac{4}{36} = \frac{22}{36}\)
B & C working for another 2 hours before B stops: \(\frac{6}{36}+\frac{4}{36} = \frac{10}{36}\)
So far \(\frac{22}{36} +\frac{10}{36}= \frac{32}{36} \) of the job has been completed, which means that there is another \(\frac{4}{36}\) left.
As C works at \(\frac{2}{36}\) an hour and there is still \(\frac{4}{36}\) left, it'll take C another 2 hours to finish.
Answer B
B: Does \(\frac{1}{12}\) of the job in an hour.
C: Does \(\frac{1}{18}\) of the job in an hour.
Make them all have a common denominator of 36 changes them to:
A: \(\frac{6}{36}\) of the job in an hour.
B: \(\frac{3}{36}\) of the job in an hour.
C: \(\frac{2}{36}\) of the job in an hour.
A, B & C working for 2 hours before A stops: \(\frac{12}{36}+\frac{6}{36}+\frac{4}{36} = \frac{22}{36}\)
B & C working for another 2 hours before B stops: \(\frac{6}{36}+\frac{4}{36} = \frac{10}{36}\)
So far \(\frac{22}{36} +\frac{10}{36}= \frac{32}{36} \) of the job has been completed, which means that there is another \(\frac{4}{36}\) left.
As C works at \(\frac{2}{36}\) an hour and there is still \(\frac{4}{36}\) left, it'll take C another 2 hours to finish.
Answer B
