Question

In a factory bonus to workman is paid according to Rowan Plan. Time allotted for a job is 40 hours and the normal rate of wages is 1.25 per hour. The factory overhead charges are 50 paise per hour for the hours taken. The factory cost of a work order, executed by a worker is 161.875. The cost of material in each case is 100. Calculate the hours of time taken by the workman to complete the work order. ​

Answer 1

Answer:

First tell me what is meaning of Rowan plan

Answer 2

Explanation:

Given In a factory bonus to workman is paid according to Rowan Plan. Time allotted for a job is 40 hours and the normal rate of wages is 1.25 per hour. The factory overhead charges are 50 paise per hour for the hours taken. The factory cost of a work order, executed by a worker is 161.875. The cost of material in each case is 100. Calculate the hours of time taken by the workman to complete the work order.

• Let the number of hours worked by the worker be m
• So we get the equation as  
•     1.25 m + (40 – m / 40 x 1.25 m) + 0.50 m + 100 = 161.875
•       1.25 m + 0.50 m + (40 – m / 40 x 1.25 m) = 161.875 – 100
•          1.75 m x 40 + 1.25 m x 40 – 1.25 m^2 = 61.875 x 40
•               70 m + 50 m – 1.25 m^2 = 2475
•                    120 m – 1.25 m^2 – 2475 = 0
•                      1.25 m^2 – 120 m + 2475 = 0
•                          m^2 – 96 m + 1980 = 0 (dividing by 1.25)
•                            So m = - b + - √b^2 – 4ac / 2a
•                                     = - (- 96) + - √(96)^2 – 4(1)(1980) / 2(1)
•                                      m = 96 + - √1296 / 2
•                                      m = 96 + - 36 / 2
•                                      Or m = 30 or 66
• Therefore time taken to complete the work will be 40 hours.

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