Russell receives a bi-weekly pay of $2,120. He has 32 regular hours work weeks and he gets paid overtime at time-and-a-half for any hours worked over 32 hours. Assume that 1 year = 52 weeks.

Question

Russell receives a bi-weekly pay of $2,120. He has 32 regular hours work weeks and he gets paid overtime at time-and-a-half for any hours worked over 32 hours. Assume that 1 year = 52 weeks.

a. Calculate his annual salary.

b. Calculate his overtime rate of pay.

c. If he worked a total of 93 hours during his last bi-weekly pay-period, calculate his gross payment for the last pay-period.

Answer 1

There may be some information missing from the problem

If $2120 is for two weeks of regular hours, 32 hours the 1st week and 32 the 2nd week, then

2120/64 = $33.13 per hour regular pay, and $49.69 for overtime

annual salary would be 2120 x 26 = $55,120, with no overtime

93 hours in 2 weeks would mean 64 regular hours and 29 overtime hours

29 x 49.69 = $1441.01 total overtime pay for 2 weeks

Or possibly the problem might have meant

$2120 for 2 weeks pay for 93 hours

if he worked 32 hours each week

then he worked 93-2(32) = 93-64 = 29 hours overtime

64P + 29(1.5P) = (64+43.5)P =107.5P = 2120

hourly rate= P = 2120/107.5 = $19.72 per hour and $29.58 for overtime

1st week he worked 47 hours, 32 regular plus 15 overtime for 32(19.72) + 29.58(15) =631.04 + 443.72= $1,074.76.

2nd week he works 46 hours, 32 regular plus 14 overtime for 32(19.72) +29.58(15) =631.04 + 414.14 = $1,045.18

total pay for 2 weeks = 1074.76 + 1045.18 = $2120

but if he worked 93 hours all in one of the two weeks, he worked 32 regular and 61 overtime

32P + 61(1.5P) = (32+91.5)P = 123.5P

P = 2120/123.5 = $17.17 regular hourly pay and $25.75 for overtime

32(17.17) + 61(25.75) = 549.31 + 1570.69 = 2120

depending on how the 93 hours were split up between the 2 weeks, the regular pay could be anywhere from $17.17 to $19.72 and the overtime pay could be anywhere from $25.75 to $29.58