Question

In 2018, a person spent half the time working, a third in sleeping and one-eighth in cooking. He spent the rest of the time exercising. How many total hours did he spend exercising?

Answer 1

Correct Answer: 365

Let's break down the problem to find out how many hours the person spent exercising in 2018, given that the whole year is usually 365 days long. There are 24 hours in each day, so the total number of hours in a year is:

Total hours in a year = 365 days × 24 hours/day = 8,760 hours

According to the problem:

• The person spent half their time working, so the hours spent working are: 8,760 × (1/2) = 4,380 hours
• They spent a third of their time sleeping: 8,760 × (1/3) = 2,920 hours
• They spent an eighth of their time cooking: 8,760 × (1/8) = 1,095 hours

We now add the time spent working, sleeping, and cooking:

4,380 + 2,920 + 1,095 = 8,395 hours

Subtracting these from the total number of hours gives the hours spent exercising:

8,760 - 8,395 = 365 hours

This matches the expected range of 365 to 365 hours.

Therefore, the person spent 365 hours exercising in 2018.