Question

mark earned $1,650 per month. His new job pays $9.80 per hour. With time and a half overt 36 hours per week. How many hours overtime would he need to earn the same amount per week as his current job?

Answer 1

Let's begin by listing out the information given to us:

Amount earned (old job) = $1,650 /month

New job rate (r) = $9.80 /hour

Time (t) = 36 hours /week

Remember that 1 month = 4 weeks. It means that time in months is equal to:

Time (t) = 36 * 4 = 144 hours /month

Amount earned (new job) = New job rate * Time

Amount earned (new job) = 9.80 * 144 = $1,411.20

Deficit = Amount earned (old job) - Amount earned (new job)

Deficit = 1,650 - 1,411.20 = $238.80

To calculate how many hours overtime, divide the deficit by the job rate

Hours overtime = 238.8 / 9.8 = 24.37 hours / month

Hours overtime = 24.37/4 = 6.09 = 6.1 hours / week

Mark would have to work 6.1 hours overtime per week to earn the same amount per week as his current job​