Algebra Word Problems Mock Tests

Machine A can complete a job in 6 hours. Machine B can complete the same job in 3 hours. If both machines work together, how many hours will it take to complete the job?

If 3 workers can complete a project in 12 days, how many days will it take 4 workers working at the same rate to complete the same project?

A train leaves City A for City B at 60 mph. One hour later, a second train leaves City B for City A at 80 mph. If the distance between the cities is 520 miles, how many hours after the first train departs do the two trains meet?

Machine A can complete a job in 6 hours. Machine B can complete the same job in 3 hours. If both machines work together, how long will it take to complete the job?

A solution is 20% alcohol. How much pure alcohol must be added to 10 liters of this solution to make it 30% alcohol?

A train travels 240 km at a constant speed. If the speed were 20 km/h faster, the trip would take 1 hour less. What is the original speed of the train in km/h?

A father is currently 4 times as old as his son. In 16 years, he will be twice as old as his son. How old is the son now?

Machine A can complete a job in 6 hours. Machine B can complete the same job in 3 hours. If both machines work together, approximately how many hours will it take to complete the job?