MATH ASSIGNMENT

1. A rectangular garden has an area of 84 square meters. If the length of the garden is 9 meters, what is the width?
2. A ship sets sail from port A to port B. The distance between the two ports is 800 km. The ship sails at a speed of 40 km/hr and returns at 60 km/hr. What is the average speed of the ship for the entire trip?
3. A man has a total of 100 coins, consisting of pennies, nickels, and dimes. If the total value of the coins is $6.00, how many of each coin does the man have?
4. A company has 500 employees. If 20% of the employees are managers, how many managers are there?
5. A tank can hold 100 liters of water. If it takes 4 hours to fill the tank, what is the flow rate in liters per hour?
6. A square has an area of 144 square meters. What is the length of one side of the square?
7. A person travels a certain distance at 80 km/hr and returns at 40 km/hr. What is his average speed for the entire trip?
8. A company has a total of 1000 employees, consisting of managers and workers. If 25% of the employees are managers, how many workers are there?
9. A man has 100 coins, consisting of pennies, nickels, and dimes. If the total value of the coins is $5.00, how many of each coin does the man have?
10. A tank can hold 200 liters of water. If it takes 5 hours to fill the tank, what is the flow rate in liters per hour?
11. A rectangular garden has an area of 144 square meters. If the width of the garden is 12 meters, what is the length?
12. A ship sets sail from port A to port B. The distance between the two ports is 1000 km. The ship sails at a speed of 50 km/hr and returns at 70 km/hr. What is the average speed of the ship for the entire trip?
13. A company has a total of 1500 employees, consisting of managers and workers. If 30% of the employees are managers, how many workers are there?
14. A man has a total of 100 coins, consisting of pennies, nickels, and dimes. If the total value of the coins is $7.00, how many of each coin does the man have?
15. A tank can hold 300 liters of water. If it takes 6 hours to fill the tank, what is the flow rate in liters per hour?
16. A square has an area of 196 square meters. What is the length of one
17. Yo, a car drives 100 km in 2 hours, what's the average speed?
18. If a square has a perimeter of 40 meters, what's the length of one side?
19. Yo, a guy has 50 bucks and he wants to buy a shirt for 20 bucks and some jeans for 40 bucks, how much change does he get?
20. If a rectangular field is 200m long and 100m wide, what's the area of the field?
21. If a triangle has a base of 8 meters and a height of 10 meters, what's the area of the triangle?
22. Yo, a man walks 10 km in 2 hours, what's his average speed?
23. If a cylinder has a height of 10 meters and a radius of 5 meters, what's the volume of the cylinder?
24. A car drives 200 km in 4 hours, what's the average speed?
25. If a square has an area of 144 square meters, what's the length of one side?
26. Yo, a man has 50 pennies, 20 nickels, and 30 dimes, how much money does he have in total?
27. If a rectangular garden is 12 meters long and 6 meters wide, what's the area of the garden?
28. A ship travels 200 km in 4 hours, what's the average speed?
29. If a sphere has a radius of 5 meters, what's the volume of the sphere?
30. Yo, a man walks 15 km in 3 hours, what's his average speed?
31. If a triangle has a base of 12 meters and a height of 8 meters, what's the area of the triangle?
32. A car drives 300 km in 6 hours, what's the average speed?
33. If a square has a perimeter of 48 meters, what's the length of one side?
34. Yo, a man has 35 pennies, 30 nickels, and 35 dimes, how much money does he have in total?
35. If a cylinder has a height of 20 meters and a radius of 10 meters, what's the volume of the cylinder?
36. A ship travels 400 km in 8 hours, what's the average speed?
37. A train travels 600 km in 12 hours. What's the average speed of the train?
38. A rectangular pool has a length of 15 meters and a width of 10 meters. What's the area of the pool?
39. A man walks 20 km in 4 hours. What's his average speed?
40. If a cone has a radius of 5 meters and a height of 10 meters, what's the volume of the cone?

\fQuestion 3': Show that the relation R in the set A of all the banks in a library;r of a college, given by R = {{X, y}: x and 1: have same number of pages} is an equivalence relation. Question 11: Show that the relation R in the set A of paints in a plane given by R = {[P, Q}: distance [if the paint P from the origin is same as the distance at the paint Q from the cirigin}, is an equivalence relatien. Further, show that the set tif all point related ta a point P = (D, D) is the circle passing thraugh P with origin as centre. \f