Sophia and Olivia together can complete job in 16 and 24 days and Lincon can complete a job in 16 days
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A+B = 16 days
B+C = 24 days (LCM =48)
Efficiency of A+B = 3
Efficiency of B+C = 2
A’s efficiency = 3-B
C’s efficiency = 2-B
A’s efficiency =3-B which is equal to 3 (2-B)
3- B = 6 - 3B
2B = 3 Hence B=1.5 and hence C’ s efficiency =0.5 and A’s efficiency = 1.5
Total A+B+C Efficiency = 3.5
Total work =48 ÷ 7/2 =96/7 =13-5/7 days
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