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Time and Work

  • If A can do a piece of work in X days, then A’s one day’s work = Description: 511.png part of whole work.
  • If A’s one day’s work = Description: 516.pngpart of whole work, then A can finish the work in X days.
  • If A can do a piece of work in X days and B can do it in Y days then A and B working together will do the same work inDescription: 521.png days.
  • If A, B and C can do a work in X, Y and Z days respectively then all of them working together can finish the work inDescription: 526.png days.
  • If A and B together can do a piece of work in X days and A alone can do it in Y days, then B alone can do the work inDescription: 531.png days.
  • A and B can do a work in ‘X’ and ‘Y’ days respectively. They started the work together but A left ‘a’ days before completion of the work. Then, time taken to finish the work isDescription: 536.png 
  • If ‘A’ is ‘a’ times efficient than B and A can finish a work in X days, then working together, they can finish the work in Description: 541.png days.
  • If A is ‘a’ times efficient than B and working together they finish a work in Z days then, time taken by A = Description: 546.pngdays and time taken by B = Z(a + 1) days.
  • If A working alone takes ‘x’ days more than A and B together, and B working along takes ‘y’ days more than A and B together then the number of days taken by A and B working together is given by Description: 551.png days.
  • If n men or m women can do a piece of work in X days, then N men and M women together can finish the work in Description: 556.png
  • If ‘M1’ persons can do ‘W1’ works in ‘D1’ days and ‘M2 persons can do ‘W2’ works in ‘D2’ days then M1D1W2 = M2D2W1
     
    If T1 and T2 are the working hours for the two groups then M1D1W2T1 = M2D2W1T2
     
    Similarly,
     
    M1D1W2T1E1 = M2D2W1T2E2, where E1 and E2 are the efficiencies of the two groups.
  • If A is n times as efficient as B, i.e. A has n times as much capacity to do work as B, A will take Description: 561.png of the time taken by B to do the same amount of work.




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