two persons A and B together can do a work in 10 days the same work can be finished in 18 days if a working for 12 days and B walk around fo

Question

two persons A and B together can do a work in 10 days the same work can be finished in 18 days if a working for 12 days and B walk around for 6 days find the time required for each one of them to finish the work if they work alone

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Luna 3 weeks 2021-10-04T00:47:11+00:00 1 Answer 0 views 0

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    2021-10-04T00:49:03+00:00

    M1D1 = m2d2

    (A+B)×10= 12A+6B

    10A + 10B = 12A+6B

    2A = 4B

    A = 2B

    A/B =2/1

    IT MEANS A CAN DO 2 UNIT OF WRK IN ONE DAY & B CAN DO 1 UNIT OF WRK IN 1 DAY.

    TOGETHER THEY WRKD FOR 10 DAYS.

    IT MEANS TOTAL WRK DONE BY THEM =( 2+1)×10

    = 30UNIT.

    SO A CAN DO THE SAME WRK ALONE = 30/2 = 15DAYS

    B CAN DO THE SAME WRK = 30/1 = 30 DAYS

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