Imperial Units and Rate
2. Find three consecutive integers whose sum is 378.
4. Each equal side of an isosceles triangle is 3 inches longer than the base. The perimeter of the triangle is 2 feet. Find the length of its base.
6. The width of a rectangle is 9 inches. The length is 1 inch shorter than the diagonal. Find the length of the diagonal.
8. A sum of $2.45 is composed of nickels and quarters, there being twice as many as nickels as quarters. How many quarters are there?
10. How many ounces of pure nickel must be added to 150 ounces of alloy 70 per cent pure to make an alloy which is 85 per cent pure?
12. How much water must be added to 200 gallons of mixture which is 80 per cent alcohol to reduce it to a 75 per cent mixture?
14. The attendance at a moving picture theater on a certain day was 737 persons. If there were 289 more adults than children, how many children were there?
16. A man walks a certain distance at the rate of 5 miles an hour and returns at the rate of 4 miles an hour. If the total time that it takes him is 3 hours and 9 minutes, what is the total distance that he walks?
18. An airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250 miles an hour, requiring 15 minutes longer on the return trip. How far from its base did it fly?
20. An airplane climbed at an average vertical speed of 300 feet per minute and descended immediately at an average speed of 25 miles per hour. The flight was performed in 25 minutes. What altitude did the plane reach?
22. A bullet is fired at a target and the sound of its impact is heard 6 seconds later. If it travels at the rate of 2200 feet per second and sound travels at the rate of 1100 feet per second, how far away is the target?
24. How soon after noon will hands of a
4. Each equal side of an isosceles triangle is 3 inches longer than the base. The perimeter of the triangle is 2 feet. Find the length of its base.
6. The width of a rectangle is 9 inches. The length is 1 inch shorter than the diagonal. Find the length of the diagonal.
8. A sum of $2.45 is composed of nickels and quarters, there being twice as many as nickels as quarters. How many quarters are there?
10. How many ounces of pure nickel must be added to 150 ounces of alloy 70 per cent pure to make an alloy which is 85 per cent pure?
12. How much water must be added to 200 gallons of mixture which is 80 per cent alcohol to reduce it to a 75 per cent mixture?
14. The attendance at a moving picture theater on a certain day was 737 persons. If there were 289 more adults than children, how many children were there?
16. A man walks a certain distance at the rate of 5 miles an hour and returns at the rate of 4 miles an hour. If the total time that it takes him is 3 hours and 9 minutes, what is the total distance that he walks?
18. An airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250 miles an hour, requiring 15 minutes longer on the return trip. How far from its base did it fly?
20. An airplane climbed at an average vertical speed of 300 feet per minute and descended immediately at an average speed of 25 miles per hour. The flight was performed in 25 minutes. What altitude did the plane reach?
22. A bullet is fired at a target and the sound of its impact is heard 6 seconds later. If it travels at the rate of 2200 feet per second and sound travels at the rate of 1100 feet per second, how far away is the target?
24. How soon after noon will hands of a