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    Question

    A and B can complete a job together in 12.5 days; B and

    C can complete the same job together in 18.75 days, while C and A can complete the same job together in 15 days. In how many days will A, B and C together be able to complete the same job alongside D, who is only 40% as efficient as C?
    A Option a Correct Answer Incorrect Answer
    B Option b Correct Answer Incorrect Answer
    C Option c Correct Answer Incorrect Answer
    D Option d Correct Answer Incorrect Answer

    Solution

    A+B= 12.5 = 25/2days B+C=18.75=75/2days C+A=15days LCM of 25/2,75/2 and 15 = 150 Total 2(A+B+C)= 12+8+10=30 A+B+C =15 C = 15-12=3 D= 3×40/100=1.2 NOW A+B+C+D = 15+1.2=16.2 SO total days = 150/16.2 =1500/162=250/27

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