Question

6. A worker earns $15.00 an hour for the first 40 hours he works each week, and one and a half times this much for every hour over 40 hours. If he earned $667.50 for one week's work, how many hours did he work? F. 40 G. 41 H. 42 J. 43 K. 44​

Answer 1

Answer: (J) 43.

Explanation:

The worker in the question gets paid for the first 40 hours he works each week at the rate of $15.00 an hour. That means that if he worked 40 hours, he would get 40 multiplied by $15.00, which is $600.00 as his weekly earnings.

But the worker in this question earned $667.50, which is more than $600.00. This means that he worked more than 40 hours in a week.

The worker gets paid one and a half times his rate of $15.00 for every hour worked over 40 hours. That means for every extra hour, he gets paid $22.50 because 1.5 times $15.00 is $22.50.

So we know that the worker earned an extra $67.50 because $667.50 minus $600.00 equals $67.50. This means that the worker must have worked 3 hours extra because 3 multiplied by $22.50 equals $67.50.

Therefore, the worker must have worked 43 hours in total that week because he worked 40 hours for $600.00, and then 3 more hours for $67.50 which brings his total to $667.50. So the answer is J. 43 hours.