show me some rate questions

Answer 1

Sure! Here are some rate-related questions that cover various contexts, such as speed, work, and interest rates:

Speed and Distance:

1. If a car travels 120 miles in 2 hours, what is its average speed in miles per hour?
2. A runner completes a 5-kilometer race in 25 minutes. What is her average speed in kilometers per hour?
3. It takes a train 3 hours to travel 150 miles. If it maintains the same speed, how far will it travel in 5 hours?

Work Rate:

4. If a worker can paint a room in 4 hours, how long will it take 3 workers to paint the same room working together?
5. A machine can process 50 items in 2 hours. How many items can it process in 5 hours?
6. If two pipes can fill a tank in 6 hours and 8 hours respectively, how long will it take to fill the tank if both pipes are used together?

Interest Rates:

7. If you invest $1,000 at an annual interest rate of 5%, how much interest will you earn in 3 years?
8. A loan of $5,000 is taken out at an interest rate of 7% per annum. How much will be owed in total after 2 years if the interest is compounded annually?
9. If a savings account offers 3% interest compounded quarterly, how much money will be in the account after 2 years if you deposit $2,000?

Population Growth Rate:

10. A town was populated by 10,000 residents and grows at a rate of 2% per year. What will be its population after 5 years?
11. If a city with a current population of 50,000 grows at a constant rate of 1.5% per year, what will be the population in 10 years?

Feel free to let me know if you want to explore any specific type of rate question further or if you want the answers to any of the above questions!