Saturday, July 7, 2012

Math problem about hours worked and wages earned.In a regular week, there are 5 working days and for each day, the working hours are 8.A man gets $...

Given:


Working days per week = 5 days


Regular working hours per day = 40 hours


Normal wage rate = $2.40 per hour


Over-time wage rate = $3.2 per hour


Total weeks worked = 4 weeks


Total earning for 4 weeks = $432


The total normal working hours for 4 week:


= 4 x (Working hours per week) = 4 x 40 = 160 hours


Wages for normal work for 160 hours:


= 160 x (normal wages per hour) = 160 x 2.4 = 384 $


Wages for over-time:


= (Total earnings) - (Wages for normal work) = 432 - 384 = 48 $


Over-time hours worked:


(Wages for over-time)/(Over-time wage rate)


= 48/3.2 = 15 hours.


Total hours worked:


= (Normal working hours for 4 week) - (Over-time hours worked)


= 160 + 15 = 175 hours


Answer:


He works for 175 hours.

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