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?
Do they each need to work the same number of hours, or can some work more than others?
some can work more, others can work less
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.