Ok I need help to figure out how to solve this problem
4 working move into town looking for work. A local business offers them 200 hours of work. The catch is, they have to work the same number of hours as they do days. I.E. if they work 8 hours they have to work 8 days. What are the hours and days each worker works?
![PsyDAG](/images/users/0/1/128x128.jpeg)
13 years ago
![Mo](/images/users/0/1/128x128.jpeg)
13 years ago
some can work more, others can work less
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To solve this problem, we need to find the number of hours and days each worker works. Let's break down the problem step by step:
1. Start by understanding the given information:
- There are 4 workers.
- Each worker has to work the same number of hours as they do days.
- The local business offers them a total of 200 hours of work.
2. Let's assume that each worker works H hours and D days, where H represents the number of hours and D represents the number of days.
3. Based on the information given, we can create some equations:
- The total number of hours worked by all the workers is 200, so we can write the equation: 4H = 200.
- The total number of days worked by all the workers is also 200, so we can write the equation: 4D = 200.
4. Solve the equations:
- From the first equation, we can find H by dividing both sides by 4: H = 200 / 4 = 50.
- From the second equation, we can find D by dividing both sides by 4: D = 200 / 4 = 50.
5. Therefore, each worker works 50 hours and 50 days.
In summary, each worker works 50 hours and 50 days to complete the 200 hours of work offered by the local business.