Question

On Tuesday, Alex started work at 7:10 a.m. and stopped for lunch at 11:30. He returned after lunch at 12:30 p.m. and worked until 4:25 p.m.

What is the total number of hours he worked? Write the answer as a decimal (two numbers past the decimal point) and provide an explanation of how to get to the answer.

a) 6.23 hours
b) 6.83 hours
c) 7.08 hours
d) 7.75 hours

Answer 1

Alex worked a total of 8.25 hours on Tuesday, split into 4.33 hours before lunch and 3.92 hours after lunch, when converted to decimal hours.

Step-by-step explanation:

To calculate the total number of hours Alex worked on Tuesday, we need to break his workday into two parts: before lunch and after lunch. First, let's determine the time worked before lunch. From 7:10 a.m. to 11:30 a.m., Alex worked for 4 hours and 20 minutes. To express this in decimal hours, we convert 20 minutes to hours by dividing by 60 (the number of minutes in an hour), which gives us approximately 0.33 hours. Therefore, Alex worked 4.33 hours before lunch.

After returning from lunch at 12:30 p.m., he worked until 4:25 p.m. This is a period of 3 hours and 55 minutes. Converting the 55 minutes to hours, we get approximately 0.92 hours. Thus, Alex worked 3.92 hours after lunch. to find the total hours worked, we add the two segments together: 4.33 hours (before lunch) + 3.92 hours (after lunch) = 8.25 hours. Hence, the answer is 8.25 hours total work time.