A worker is allowed 60 hours to complete the job on a guaranteed wage of Rs 10 per hour Under the Rowan Plan, he gets an hourly wage of Rs 12 per hour For the same saving in time, how much he will get under the Halsey Plan?

If it so. Then why can't get the answer by substitute the value of time saved and time allowed in Rowan plan.

Given in the problem is Standard hours 60
Basic wages is 10 per hour
Wages under Rowan scheme is 12 per hour. So difference 2 per hour is the incentive under Rowan.

Now Rowan incentive formula is (Actual hours / Std hours) (Time saved) (Basic Rate)

Let time saved be assumed to be x

Substituting in formula (x/60)(60-x)*10 = 2x
(x/60)(60-x) = 0.2x
x(60-x) = 12x
60x - x-squared = 12x
-x squared = -48x
x squared = 48x
x = 48 so Actual hours worked is 48

Time saved is 60-48 = 12 Hours

TOTAL WAGES EARNED DURING UNDER ROWAN PLAN 60x12= 720
TOTAL BONUS EARNED DURING UNDER ROWAN PLAN 720-60X10=120
ACTUAL TIME SAVED FOR WORK= 120/10=12 HOURS
ACTUAL TIME TAKEN=60-12=48 HOURS
WAGES UNDER HALSEY PLAN (48X10+120*50/100)= 540/- ANS (B)

solution for it?

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