Time and Work: Fundamentals and Shortcuts

1. A can do a piece of work in 5 days, B can do the same work in 6 days. how long will they take to finish the work if they work together ?

2. A can do a particular work in 10 days and B can do the same work in 12 days. How long will they take to finish the same work if they work together ?

3. A , B and C and finish a work in 10,12 and 20 days respectively. How long will they take to finish the work if all three work together ?

4. A can do a work in 10 days, the same work can be finished by B in 12 days. A works alone for the first 2 days then B joins him to work together to finish the work. How long did the work take to finish ?

5. A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. How long will B take to finish the remaining work ?

6. A can do a piece of work in 12 days and B can do it in 18 days. They work together for 2 days and the A leaves. How long will B take to finish the remaining work ?







Ans

1. 30/11

2. 60/11

3. 60/14

4. 2 + 48/11

5. 8 + 16/3

6. 15

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