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    Question

    A and B can complete a job together in 30 days; B and C

    can complete the same job together in 25 days, while C and A can complete the same job together in 10 days. In how many days will A, B, and C be able to complete the same job alongside D, who is only 75% as efficient as C?
    A 11(4/7) Correct Answer Incorrect Answer
    B 7(17/19) Correct Answer Incorrect Answer
    C 5(11/19) Correct Answer Incorrect Answer
    D 4(11/17) Correct Answer Incorrect Answer

    Solution

    A+B= 30 B+C=25 C+A=10days LCM of 30, 25, and 10 = 150 A+B     B+C      C+A 30        25        10               150   5             6         15 Total 2(A+B+C) = 5+6+15+=26 A+B+C =13 C = 13-5 =8 D= 8×75/100 =6 NOW A+B+C+D = 13+6=19 SO total days = 150/19 =7(17/19) days

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