'A' can do some work in 24 days 'B' can do it in 32 days and 'C' can do it in 60 days. They started working together, 'A' left after 6 days and 'B' left after working for 8 days, how Many more days are required to complete the work.
A. 30 days
B. 25 days
C. 22 days
D. 20 days
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Can it b solved by percentage method
Correct Answer = 22 days
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Explanation :
Work done by A in 1 day = 1/24
Work done by B in 1 day = 1/32
Work done by C in 1 day = 1/60
Work done by A, B and C together in 1 day = 1/24 + 1/32 + 1/60 = 43/480
After 6 days, A leaves.
So, work done by A, B and C together in 6 days = 43/80
Now, B and C work together for the next two days before B leaves.
Work done by B and C together in 1 day = 1/32 + 1/60 = 23/480
So, work done by B and C together in 2 days = 46/480 = 23/240
Work remaining after A and B leaves = 1 - (43/80 + 23/240) = 1 - 152/240 = 88/240 = 11/30
So 11/30 of the work is remaining for C to do alone.
C completes 1 work in 60 days
So, C completes 11/30 of the work in 11/30 * 60 days = 22 days