Question

as a package handler, you submit timecards that show the hours you worked. you worked from 10 p.m. to 3 a.m. during your last shift. how many hours did you work?

a 3
b 5
c 7
d 10
e 13

Explanation:

Step1: Convert 10 p.m. to 24-hour format

10 p.m. in 24-hour format is $22$ (since 10 + 12 = 22).

Step2: Calculate the time difference

The end time is 3 a.m. (which is $3$ in 24-hour format, but since it's the next day, we can also calculate as (24 - 22) + 3. First, from 10 p.m. (22:00) to 12 a.m. (24:00 or 0:00) is $24 - 22 = 2$ hours. Then from 12 a.m. to 3 a.m. is 3 hours. So total hours is $2 + 3 = 5$? Wait, no, wait. Wait, 10 p.m. to 3 a.m.: let's count the hours. 10 p.m. to 11 p.m. is 1, 11 p.m. to 12 a.m. is 1, 12 a.m. to 1 a.m. is 1, 1 a.m. to 2 a.m. is 1, 2 a.m. to 3 a.m. is 1. Wait, that's 5 hours? Wait, no, 10 p.m. to 3 a.m.: from 22:00 to 3:00 (next day). The formula for time difference when crossing midnight is (24 - start) + end. So (24 - 22) + 3 = 2 + 3 = 5. Wait, but let's check again. 10 p.m. to 3 a.m.: how many hours? Let's list the times: 10 p.m., 11 p.m., 12 a.m., 1 a.m., 2 a.m., 3 a.m. Wait, from 10 p.m. to 3 a.m. is 5 hours? Wait, no, 10 p.m. to 11 p.m. is 1, 11 to 12 is 1, 12 to 1 is 1, 1 to 2 is 1, 2 to 3 is 1. So that's 5 hours? Wait, but 10 p.m. to 3 a.m. is 5 hours? Wait, maybe I made a mistake. Wait, 10 p.m. to 3 a.m.: 10 p.m. is 22:00, 3 a.m. is 03:00 (next day). The difference is 03:00 - 22:00 = 5 hours (because 24 - 22 + 3 = 5). Yes, so the total hours worked is 5.

Answer:

B. 5