46.  A and B can do a job together in 7 days. A is 1 3/4 times as efficient as B. the same job can be done by A alone in

9 1/3 days
12 1/4 days
16 1/3 days
11 days

```Answer

Answer: Option  D Explanation:(A's 1 day's work) : (B's 1 day's work) = 7/4: 1 = 7:4.
Let A's and B's 1 day's work be 7 x and 4x respectively.
Then, 7x +4x = 1/7 = 11x= 1/7 = x = 1/77.
therefore A's 1 day's work = (1/77*7) = 1/11. ```

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47.  A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. the whole work was completed in?

8 days
10 days
10 1/2 days
12

```Answer

Answer: Option  D Explanation:(A+B)'s 1 day's work = (1/15+ 1/10) = 1/6.
work done by A and B in 2 days = (1/6*2) = 1/3. Remaining work = ( 1- 1/3) = 2/3.
Now, 1/15 work is done by A in 1 day.
therefore 2/3 work will be done by A in (15*2/3) = 10 days.
hence, total time taken = (10+2) = 12 days. ```

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48.  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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49.  45 men can complete a work in 16 days. Six days after they started working 30 more men joined them.How many days will they now take to complete the remaining work?

5 days
7 days
8 days
6 days

```Answer

Answer: Option  D Explanation:(45*16) men can complete a work in 1 day
1 man's 1 day's work = 1/720
45 men's 6 day's work =(1/16*6) = 3/8, Remaining work = ( 1- 3/8) = 5/8
75 men's 1 day's work = 75/720 = 5/48
Now 5/48 work is done by them in 1 day
5/8 work is done by them in(48/5*5/8) = 6 days ```

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50.  2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?

13 1/2 days
13 days
12 1/2 days
10 days

```Answer

Answer: Option  C Explanation:Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y then,
2x+3y = 1/10 and 3x+2y = 1/8
solving we get : x= 7/200 and y = 1/100
(2 men + 1 boy)'s 1 day work = (2*7/200+ 1*1/100) = 16/200 = 2/25
so 2 men and 1 boy together can finish the work in 25/2 = 12 1/2 days. ```

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