Work Word Problems Sample Problems

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These sample problems below for Work Word Problems were generated by the MathScore.com engine.

Sample Problems For Work Word Problems

Complexity=1, Mode=man-hours

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

If 10 workers can build a barn in 12 hours, how long would it have taken for 60 workers?
hours

If 6 workers can harvest a field in 18 hours, how long would it have taken for 36 workers?
hours

Complexity=1, Mode=hours

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

Mike and Peter take 4⁴/₉ hours to do a job. Peter alone takes 10 hours to do the same job. How long would it take Mike to do the same job alone?
hours

Paul takes 6 hours to do a job. Cindy takes 9 hours to do the same job. Working together, how many hours will it take them to do the job?
hours

Complexity=1, Mode=rates

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

One pipe can empty a tank 4 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

One pipe can fill a tank 2 times faster than another pipe. Starting with an empty tank, if both pipes are turned on, it takes 4 hours to fill the tank. How long does it take the faster pipe working alone to fill an empty tank?
hours

Complexity=1, Mode=mixed

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

One pipe can empty a tank 5.5 times faster than another pipe can fill the tank. Starting with a full tank, if both pipes are turned on, it takes 16.5 hours to empty the tank. How long does it take the faster pipe working alone to empty a full tank?
hours

One pipe can empty a tank 1.5 times faster than another pipe. Starting with a full tank, if both pipes are turned on, it takes 6 hours to empty the tank. How long does it take the faster pipe working alone to empty a full tank?
hours

Answers

Complexity=1, Mode=man-hours

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

Problem

Correct Answer

Your Answer

If 10 workers can build a barn in 12 hours, how long would it have taken for 60 workers?

hours

Solution
Let x be the number of hours it would have taken.

(10 workers)(12 hours)	=	(60 workers)x
120 worker-hours	=	60x workers
2 hours	=	x

Problem

Correct Answer

Your Answer

If 6 workers can harvest a field in 18 hours, how long would it have taken for 36 workers?

hours

Solution
Let x be the number of hours it would have taken.

(6 workers)(18 hours)	=	(36 workers)x
108 worker-hours	=	36x workers
3 hours	=	x

Complexity=1, Mode=hours

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

Problem

Correct Answer

Your Answer

Mike and Peter take 4⁴/₉ hours to do a job. Peter alone takes 10 hours to do the same job. How long would it take Mike to do the same job alone?

hours

Solution
Let t = number of hours for Mike working alone

1 job

10 hours

1 job

4⁴/₉ hours

Answer: t = 8 hours

Problem

Correct Answer

Your Answer

Paul takes 6 hours to do a job. Cindy takes 9 hours to do the same job. Working together, how many hours will it take them to do the job?

hours

Solution
Let t = number of hours working together

1 job

6 hours

1 job

9 hours

1 job

Answer: t = ¹⁸/₅ hours

Complexity=1, Mode=rates

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

Problem

Correct Answer

Your Answer

hours

Solution
Let f = number of hours it takes the faster pipe and 4f = number of hours it takes the slower pipe

1 tank

12 hours

Solve for f to get f = 9 hours
Working alone, the faster pipe takes f.
Answer: f = 9 hours

Problem

Correct Answer

Your Answer

hours

Solution
Let f = number of hours it takes the faster pipe and 2f = number of hours it takes the slower pipe

1 tank

4 hours

Solve for f to get f = 6 hours
Working alone, the faster pipe takes f.
Answer: f = 6 hours

Complexity=1, Mode=mixed

Solve. Simplify all fraction answers and use simple form. For example, if the answer is 1 2/4, use 3/2.
Decimal form is also acceptable.

Problem

Correct Answer

Your Answer

hours

Solution
Let f = number of hours it takes the faster pipe and 5.5f = number of hours it takes the slower pipe

1 tank

5.5f

1 tank

16.5 hours

Solve for f to get f = 13.5 hours
Working alone, the faster pipe takes f.
Answer: f = 13.5 hours

Problem

Correct Answer

Your Answer

hours

Solution
Let f = number of hours it takes the faster pipe and 1.5f = number of hours it takes the slower pipe

1 tank

1.5f

1 tank

6 hours

Solve for f to get f = 10 hours
Working alone, the faster pipe takes f.
Answer: f = 10 hours

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