Jerry walked a dog from 6:40 am to 7:30 am one day. If he was paid at the rate of $6 per hour, how much did he earn that day? Show work.
The Correct Answer and Explanation is:
Step-by-Step Solution:
- Determine the duration of time Jerry worked: He started walking the dog at 6:40 AM and ended at 7:30 AM. To find out how long that is:
- From 6:40 AM to 7:00 AM = 20 minutes
- From 7:00 AM to 7:30 AM = 30 minutes
- Total time = 20 minutes + 30 minutes = 50 minutes
- Convert minutes into hours: Since pay is given per hour, we need to convert 50 minutes into a fraction of an hour.
- 50 minutes ÷ 60 minutes = 5/6 hour
- Calculate the earnings: Jerry earns $6 per hour.
- So, for 5/6 of an hour: Earnings=6×56=$5.00\text{Earnings} = 6 \times \frac{5}{6} = \boxed{\$5.00}
Final Answer: Jerry earned $5.00
300-Word Explanation:
To determine Jerry’s earnings, we need to understand the relationship between time worked and the hourly wage. Jerry walked a dog starting at 6:40 AM and ended at 7:30 AM. This span of time is not a full hour, so the first step is to determine how many minutes he worked. From 6:40 to 7:00 AM is 20 minutes, and from 7:00 to 7:30 AM is another 30 minutes. Adding these gives us a total of 50 minutes of work.
Because he is paid per hour, we must convert 50 minutes into a fraction of an hour. There are 60 minutes in one hour, so 50 minutes is equal to 50 ÷ 60 = 5/6 of an hour. This fraction tells us how much of an hour Jerry worked.
Next, we multiply this time by his hourly wage. Jerry earns $6 for every full hour of work. Since he worked 5/6 of an hour, we multiply:
6 × 5/6 = 5.
This means Jerry earned $5.00 for walking the dog for 50 minutes. Even though he didn’t complete a full hour, he still earns a proportionate amount based on the time worked. This method ensures fair payment for time and labor.
Understanding how to convert time and calculate partial wages is a practical math skill. It is useful for jobs that are billed hourly and helps ensure accurate payments whether someone works a full hour or only a part of it.
