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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.
 1 If 10 workers can build a barn in 12 hours, how long would it have taken for 60 workers? hours 2 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.
 1 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 2 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.
 1 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 2 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.
 1 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 2 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

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.
1 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
2 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.
1Mike 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 jobt
+
 1 job10 hours
=
 1 job44/9 hours

2Paul 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 job6 hours
+
 1 job9 hours
=
 1 jobt

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.
1One 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
Solution
Let f = number of hours it takes the faster pipe and 4f = number of hours it takes the slower pipe
 1 tankf
-
 1 tank4f
=
 1 tank12 hours

Solve for f to get f = 9 hours
Working alone, the faster pipe takes f.
2One 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
Solution
Let f = number of hours it takes the faster pipe and 2f = number of hours it takes the slower pipe
 1 tankf
+
 1 tank2f
=
 1 tank4 hours

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

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.
1One 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
Solution
Let f = number of hours it takes the faster pipe and 5.5f = number of hours it takes the slower pipe
 1 tankf
-
 1 tank5.5f
=
 1 tank16.5 hours

Solve for f to get f = 13.5 hours
Working alone, the faster pipe takes f.
2One 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
Solution
Let f = number of hours it takes the faster pipe and 1.5f = number of hours it takes the slower pipe
 1 tankf
+
 1 tank1.5f
=
 1 tank6 hours

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