MathScore Practice: Work Word Problems

Description: Solving work problems.

Adaptive Learning Progression: Introduces a variety of scenarios.

Sample Levels (out of 7)

Solve. Simplify all fraction answers and use simple "improper" form. For example, if you get 1 ²/₄, write 3/2.
Decimal form 1.5 is also acceptable.

1.	If 4 workers can build a fence in 15 weeks, how long would it have taken for 2 workers? weeks	2.	If 10 workers can build a barn in 6 hours, how many workers would it have taken to do it in 5 hours? workers
3.	If 4 workers can build a fence in 9 weeks, how many workers would it have taken to do it in 3 weeks? workers	4.	If 10 workers can dig a swimming pool in 12 weeks, how long would it have taken for 4 workers? weeks

Solve. Simplify all fraction answers and use simple "improper" form. For example, if you get 1 ²/₄, write 3/2.
Decimal form 1.5 is also acceptable.

One pipe can fill a tank in 2 hours. Another pipe can fill the tank in 8 hours. Starting with an empty tank, if we turn on both pipes, how many hours will it take to fill the tank?
hours

One pipe can fill a tank in 5 hours. Another pipe can fill the tank in 6 hours. Starting with an empty tank, if we turn on both pipes, how many hours will it take to fill the tank?
hours

Solve. Simplify all fraction answers and use simple "improper" form. For example, if you get 1 ²/₄, write 3/2.
Decimal form 1.5 is also acceptable.

One pipe can empty a tank 2.5 times faster than another pipe. Starting with a full tank, if both pipes are turned on, it takes 12.5 hours to empty the tank. How long does it take the slower pipe working alone to empty a full tank?
hours

John works 5.5 times faster than Pearl. Together, they do a job in 16.5 hours. How long does it take John working alone to do the same job?
hours

Solve. Simplify all fraction answers and use simple "improper" form. For example, if you get 1 ²/₄, write 3/2.
Decimal form 1.5 is also acceptable.

1.	One pipe can empty a tank 6 times faster than another pipe can fill the tank. Starting with a full tank, if both pipes are turned on, it takes 12 hours to empty the tank. How long does it take the faster pipe working alone to empty a full tank? hours	2.	Pearl works 4 times faster than Peter. Together, they do a job in 8 hours. How long does it take Pearl working alone to do the same job? hours
3.	One pipe can empty a tank 2 times faster than another pipe can fill the tank. Starting with a full tank, if both pipes are turned on, it takes 10 hours to empty the tank. How long does it take the slower pipe working alone to fill an empty tank? hours

Math Practice Topic: Work Word Problems

Sample Levels (out of 7)