Question

At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overtime.Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours

Answer 1

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = $\ x$

$40\times x = \ 334.4\\\Rightarrow x = \bold{\ 8.36}$

Let the number of overtime hours = $y$ hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

$y\times 8.36\times \dfrac{5}{4} = 156.75\\\Rightarrow y = \bold{15\ hours}$

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours