Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Time and Work**, which is common for all the competitive exams . We have included Some questions that are repeatedly asked in bank exams !!

**A is 25% more efficient than B. C does half the work done by A & B together. If C alone does the work n 30 days, then A alone can do the work in**

A)32days

B)27days

C)22days

D)25(1/2)days

E)None of these

**B)27days**

Explanation :

A’s one day’s work:B’s one days work = 125:100 = 5:4

Let A’s & B’s one day’s work be 5x and 4x days

Then C’s one day’s work = 9x/2

= > 9x/2 = 1/30

= > x = ((1/30)*(2/9)) = 1/135

A’s one day’s work = 5/135 = 1/27

**P can finish a work in 27 days, Q in 9 days and C in 12 days. Q & R start the work but are forced to leave after 4 days. The remaining work done by P in:**

A)6 days

B)9 days

C)10 days

D)12 days

E)None of these

**A)6 days**

Explanation :

(Q+R)’s one day’s work = 1/9+1/12 = 7/36

Q & R in 3 days = 4*7/36 = 7/9

Remaining work = 1-(7/9) = 2/9

1/27 work is done by A in 1 day.

2/9 work is done by A in 27*2/9 = 6 days

**4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 20 women complete it?**

A)10days

B)15days

C)20days

D)25days

E)None of these

**C)20days**

Explanation :

1 man’s 1 day’s work = x days

1 woman’s 1 day’s work = y

Then, 4x+6y = 1/8 and 3x+7y = 1/10.

Solving these two equations y = 1/400

1 woman’s 1 day’s work = 1/400

20 women = 20/400 = 1/20 = 20days

**30 men can complete a work in 16 days. Six days after they started working, so 20 more men joined them. How many days will they now take to complete the remaining work?**

A)12 days

B)5 days

C)8 days

D)6 days

E)None of these

**D) 6 days**

Explanation :

30*6 / (6/16) = 50*x / (1-(6/16))

x = 6 days

**A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together they can finish the work in 6 days. C can do the work alone in ?**

A)20 days

B)16 days

C)12 days

D) 10 days

E)None of these

**C)12 days**

Explanation :

1/x+2/x+3/x = 1/6

6/x = 1/6

x = 36

C = 3/x = 3/36 = 1/12 = 12 days

**If 36 men completed the work in 35 days working 7 hours a day. How many more men should be engaged to finish the rest of the work in 28 days working 5 hours a day?**

A)45

B)63

C)32

D)27

E)None of these

**D)27**

Explanation :

36*35*7 = 28*5*x

X = 36*35*7/ 28*5

X = 63

63-36 = 27

**Rakesh and Ezhil are working on an assignment. Ronald takes 6 hours to type 36 pages on a computer, while Ezhil takes 5 hours to type 25 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?**

A)8hrs

B)10hrs

C)6hrs

D)12hrs

E)None of these

**B)10hrs**

Explanation :

Rakesh in one hour = 36/6 = 6

Ezhil in one hour = 25/5 = 5

Number of pages typed by both in one hour = 6+5= 11

Time taken by both to type 110 pages = 110/11 = 10 hours

**3 men and 6 women can do a piece of work in 16days, then 12 men and 8 women can do the same work in how many days ?**

A)7days

B)3 days

C)9 days

D)5 days

E)None of these

**B)3 days**

Explanation :

3m + 6w = 16days

12m+8w = ?

3*6*16 = 12*8*x

X = 3*6*16 / 12*8 = 3 days

**15 men or 30 women can do a piece of work in 25 days. In how many days will 34 men and 27 women do double the work ?**

A)8days

B)10 days

C)16 days

D)12 days

E)None of these

**C)16 days**

Explanation :

1m = 2w

34m+27w = 34w+34w+27w = 95w

D = 2*25*30/95 = 2*750/95 = 16days

**Siva can complete the job in 12hrs. Aswin can complete the job in 8 hrs. If Siva worked for 6hrs then quit. How many hours will Aswin alone take to complete the remaining work ?**

A)4hrs

B)3hrs

C)5hrs

D)7hrs

E)None of these

**A)4hrs**

Explanation :

6/12+x/8= 1

12+3x = 24

3x = 12

X =4

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