Question

Please help, am very confused on how to find the answer

Margie has these times recorded on her time sheet for the week.

How many hours did she work?

49

45

39

35

Answer 1

Answer: 49 hours (choice A)

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Step-by-step explanation:

4:58 PM is 1658 in military time or 24 hour time format.

We add 12 to the hour value to get 4+12 = 16. The minutes stay the same.

Here's a chart converting the given PM time values to their respective corresponding 24 hour time format

`\begin{array}c\cline{1-2}\text{12 hour} & \text{24 hour} \\ \cline{1-2}\text{4:58 PM} & \text{1658} \\ \cline{1-2}\text{5:01 PM} & \text{1701} \\ \cline{1-2}\text{5:32 PM} & \text{1732} \\ \cline{1-2}\text{5:46 PM} & \text{1746} \\ \cline{1-2}\text{4:31 PM} & \text{1631} \\ \cline{1-2}\end{array}`

Margie's time sheet in terms of 24 hour time format would look like this

`\begin{array}c\cline{1-2}\text{Time in} & \text{Time out} \\ \cline{1-2}\text{0705} & \text{1658} \\ \cline{1-2}\text{0730} & \text{1701} \\ \cline{1-2}\text{0801} & \text{1732} \\ \cline{1-2}\text{0722} & \text{1746} \\ \cline{1-2}\text{0655} & \text{1631} \\ \cline{1-2}\end{array}\\`

To find the duration for any row, we subtract the time out and time in values

• First row: 1658 - 0705 = 0953
• Second row: 1701 - 0730 = 0971
• Third row: 1732 - 0801 = 0931
• Fourth row: 1746 - 0722 = 1024
• Fifth row: 1631-0655 = 0976

A duration like 0953 means she worked 9 hours, 53 minutes for that day.

Then we'll add up those durations

0953+0971+0931+1024+0976 = 4855

She worked 48 hours and 55 minutes in total for this week. This rounds to 49 hours since the "55 minutes" is really close to 60 min = 1 hour.