1.  Worker A takes 8 Hours to do a job. Worker B Takes 10 Hours to do the same job. How long should it take both A & B working together but independently to do the Same Job?

32/9
40/9
35/8
30/5

```Answer

Answer: Option  B Explanation:A's 1 Hour work=1/8, B's 1hour work =1/10
(A+B)'s 1 hour work =(1/8+1/10)=9/40.
Both A & B Complete the work in 40/9 days ```

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2.  A & B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days in how many days can B alone complete that work?

7 days
5 days
6 days
9 days

```Answer

Answer: Option  C Explanation:(A + B)'s 1 day's work = 1/4; A's 1 day's work = 1/12;
B's 1 day's work = (1/4 - 1/12) = 1/6
Hence B alone can complete the work in 6 days.   ```

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3.  A can do a work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?

3 days
4 days
6 days
2 days

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Answer: Option  A Explanation:A can complete the work in = ( 7*9) = 63 hours
B can complete the work in = ( 6*7) = 42 hours
A's 1 hour's work = 1/63 and B's 1 hour's work = 1/42
(A + B)'s 1 hour's work = (1/63 + 1/42) = 5/126 = Number of days of 8 2/5 hours each = (126/5 * 5/42) = 3 days ```

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4.  A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days, the work will be completed?

7 1/3 days
8 1/5 days
10 1/4 days
5 1/2 days

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Answer: Option  C Explanation:(A+B)'s 2 days' work = (1/9+1/12)= 7/36.
work done in 5 pairs of days = (5*7/36) = 35/36.
remaining work = (1- 35/36) = 1/36.
on 11th day, it is A's turn. 1/9 work is done by him in 1 day.
1/36 work is done by him in (9*1/36) = 1/4 day.
therefore total time taken = ( 10 + 1/4) days = 10 1/4 days. ```

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5.  A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?

5 days
6 days
8 days
9 days

```Answer

Answer: Option  B Explanation:A's 1 day's work = 1/10 and B's 1 day's work = 1/15.
therefore (A+B)'s 1 day's work =( 1/10+ 1/15)= 1/6.
so, both together will finish the work in 6 days. ```

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