Work Problem Exercise

Solve the following.

1) Manny can do a job in 8 days. What part of the job is finished after he worked for 4 days?

2.) Josie can do a job in 7 days. Danna can do the same job in 12 days. If they both worked for 1 day, what part of the job is finished?

3.) Daniel can paint a house in 8 days. Vic can do the same job in 10 days. If they both worked for 2 days, what part of the job is done?

4.) One hose can fill a pool in 4 hours and a smaller hose can fill the same pool in 6 hours. How long will it take the two hoses to fill the entire pool?

5.) Lucian can dig a ditch in 6 hours. Lucian and Michael can do it in 3 hours. How long would it take Jun to dig the same ditch alone?

Answer key:

1.) \frac{1}{2}
2.) 1\frac{9}{84}
3.) \frac{9}{20}
4.) 2 hrs and 24 minutes
5.) 6 hrs

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