Age
Tim is 5 years older than JoAnn. Six years from now the sum of their ages will be 79. How old is JoAnn now?
JoAnn is 31 years old.
A scientist has one solution that is 30% acid and another solution that is 18% acid. How much of each should he use to get 300 L of a solution that is 21% acid?
75 liters of 30% acid and 225 liters of 18% acid
Cali traveled 576 miles in 8 hours on a bus. Find her rate.
72 mph
One water hose can fill a swimming pool in 10 hours, while another can fill the same pool in 15 hours. How many hours will it take if both water hoses are used to fill the tank?
6 hours
Find three consecutive numbers whose sum is 27.
8, 9, 10
Diane is 23 years older than her daughter Amy. In 6 years Diane will be twice as old as Amy. How old is Diane now?
Diane is 40 years old.
How many pounds, to the nearest tenth, of chocolate worth $4.20 a pound must be mixed with 10 pounds of chocolate worth $1.20 a pound to produce a mixture worth $2.40 a pound?
6.7 pounds
A bus leaves a station traveling 50 mph. A car traveling 60 mph leaves the same station three hours later. How long will it take the car to overtake the bus?
The car will have to travel 15 hours to catch up with the bus.
Jackie can paint a fence in 9 hours, and Jeremy can paint it in 6 hours. How many hours, to the nearest tenth, would it take to paint it if they work together?
3.6 hours
The length of the rectangle is 7 more than its width and the perimeter of the rectangle is 58 inches. What are the dimensions?
Length = 18 inches
Width = 11 inches
Jack is twice as old as Lacy. In three years the sum of their ages will be 54. How old is Jack now?
Jack is 32 years old.
How many kg of a 90% nickel alloy must be mixed with a 70%
nickel alloy to make 40 kg of 80% nickel alloy?
20 kg
Bob leaves his house traveling toward John’s house driving 65 miles per hour. An hour later, John leaves his house traveling on the same road toward Bob’s house. John is traveling 50 miles per hour. It is 500 miles between their houses. How many hours before Bob and John meet? Round to the nearest tenth.
One roofer can put a new roof on a house three times faster than another. Working together, they can roof the house in 5 days. Approximately how many days would it take the slower roofer working alone?
20 days
Find three consecutive even numbers whose sum is -90.
-28, -30, -32
The sum of the ages of John and Mary is 32. Four years ago, John was twice as old as Mary. How old are John and Mary now?
John is 20 and Mary is 12.
A tank has a capacity of 20 gallons. When it is full, it contains 8% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 20 gallons of 15% alcohol solution?
5 gallons
John travels from home to the city. His speed going to the city is 60 mph. When he returns home by the same route his speed is 40 mph. The total trip takes 5 hours. What is the distance from his home to the city?
The distance from John’s home to the city is 120 miles.
Janice can complete a project in 55 minutes. If Janice and Jessica both work on the project, it takes 35 minutes. How many minutes would it take for Jessica to complete the project by herself? Express your answer to two decimals.
96.25 minutes
One side of a triangle is 3 inches shorter than twice the length of the shortest side. The third side is 5 inches longer than the shortest side. The perimeter is 110 inches. Find the length of all three sides of the triangle.
27 in, 32 in, 51 in
Marcus is 6 years older than his sister and 3 years younger than his cousin. In 8 years, the sum of their ages will be ninety-six. How old is Marcus now?
Marcus is 25 years old.
A tank has a capacity of 10 gallons. When it is full, it contains 12% alcohol. How many gallons, to the nearest tenth, must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?
1.25 gallons
Driving her car at 60 mph, Maria can cover a certain distance in 15 minutes less than when she drives at 50 mph. Find the distance.
75 miles.
A pool is being filled by a water hose while two other filters are filtering out the dirty water.
The water hose can fill it alone in 4 hours.
One filter, can empty the pool in 10 hours.
The second filter can empty the pool in 20 hours.
How long will it take to fill the pool?
It will take ten hours.
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What are the two numbers?
6 and 1.5