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    Question

    There are two teams of laborers I and II at a bridge

    construction site. There are w workers in each team. On a particular day, a worker is transferred from Team I to Team II. Now, if the ratio of the amount of work done by Team I in (w + 1) h (hours) and by Team II in (w +  2) h (hours) is 10 : 12 respectively, then the value of w is equal to Is ?
    A 24 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    Number of workers in team I = W  Number of workers in team II = W  New number of workers in team I = W - 1  The new number of workers in team II = W + 1 Total work done- Team ITeam II (w–1) (w+1)(w+1) (w+2) ATQ- (w–1) (w+1)/ (w+1) (w+2) =10/12 (w2-1)/(w2+2w+w+2) =5/6 w2-15w-16=0 w2-16w+w-16=0 (w-16) (w+1) =0 w-16=0 w=16.

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