Given:
A can do a piece of work = 8 hrs
B + C can do a piece of work = 6 hrs
A + C can do a piece of work = 4 hrs
Concept used:
Total work = LCM
Formula used:
Efficiency = Work/Time
Calculations:
Total work = LCM = 24
Person
Time
Total work
Efficiency
A
8 days
24
24/8 = 3
B + C
6 days
24/6 = 4
C + A
4 days
24/4 = 6
Efficiency of C = 6 – 3 = 3
Now, Efficiency of B = 4 – 3 = 1
Time taken by B to complete the work alone = 24/1 = 24 hrs.
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