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 +Â 2) h (hours) is 10 : 12 respectively, then the value of w is equal to Is ?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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