Time and Work Questions forÂ IBPS/SBI PO, NIACL, NICl, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

- A & B can separately finish the work in 30 days and 50 days respectively. They worked together and A left the work, so B complete the remaining work in 10 days. Find after how many days A left the work?

A) 10days

B) 12days

C) 15days

D) 20days

E) 18days

View Answer

** Option C**

Solution:

A = 30â€¦â€¦â€¦..5

B = 50â€¦â€¦â€¦.3 Â Â (LCM = 150)

A+ B = 8

Bâ€™s work in 10days = 3*10 =30

Means they together did â€¦â€¦120

120/8= 15days

- A is 20% more efficient than B and 50% more efficient than C. if they together can do a work in 24 days then find in how many days B alone can do the work?

A) 60days

B) 72days

C) 90days

D) 180days

E) 100days

View Answer

** Option B**

Solution:

. Â Â Â Â Â Â Â Â Â A â€¦â€¦â€¦B Â | Â Aâ€¦â€¦â€¦C

Efficiency Â Â 6â€¦â€¦â€¦.5 Â Â | Â 3â€¦â€¦â€¦2

Days Â Â Â Â Â Â 5â€¦â€¦â€¦.6 Â | Â 2â€¦â€¦â€¦3

Days A : B : C

. Â Â Â Â 10 12 15

A = 10……….6

B = 12………..5 …. Â Â Â Â (LCM = 60)

C = 15………..4

A+B+ C = 15

60/15=4

4=24

1= 6

B=12= 12*6 = 72days

- A can make 10000 papers in an hour B can make 8000 papers in an hour. Find in how many days they both can make 5,90,000 papers, if A do work for 7 hours and B do work for 6 hours?

A) 4days

B) 3days

C) 5days

D) 6days

E) 7days

View Answer

** Option C**

Solution:

Aâ€™s 1hr work = 10,000

7hr work = 70,000

Bâ€™s 1hr work = 8000

6hr work = 48,000

Total work of A& B of 1day = 70,000+48,000= 1,18,000

So 590000/118000 = 5days

- 7 men and 5 women can do a work in 6 days. Also 6 men and 7 women can do same work in 6 days. Find in how many days will 2 men & 2 women can finish the work?

A) 19days

B) 15days

C) 10days

D) 14days

E) 22days

View Answer

** Option A**

Solution:

7M + 5W =6

42M+30W = 1â€¦â€¦â€¦â€¦â€¦â€¦.(1)

6M +7W =6

36M + 42W =1â€¦â€¦â€¦â€¦â€¦..(2)

FROM (1) & (2)

. 42M + 30W =1

-36M (-)+ 42W =(-)1

6M -12W =0

6M =12W

M =2Wâ€¦â€¦.PUT IT IN EQUATION(1)

S0 .. 14W +5W= 6

19W =6

1W = 6*19

6W = 6*19/6 =19DAYS

- A & B can do a work in 18 days. They started work together and A left after 7 days and B did the remaining work in 33 days. Find in how many days A can alone do the work?

A) 18

B) 54

C) 27

D) 36

E) 32

View Answer

** Option C**

Solution:

let total work = 18

Efficiency of A &Bâ€™s work of 1day =1

In 7days they complete =7 work

Remaining = 18-7 = 11

B do 11 work = 33 days

1 work = 3days

18work = 54days

So â€¦â€¦. A+B = 18â€¦â€¦.3 Â Â Â Â Â Â Â Â (LCM = 54)

. Â Â Â Â Â Â Â Â B = 54â€¦â€¦..1

So A = 3-1 = 2

A = 54/2 =27days

- A tap can fill a tank in 16 hrs but due to a leak it takes 6 hrs more. If leakage withdraw 9ltr water in an hour than find the quantity of tank?

A) 520ltr

B) 528ltr

C) 536ltr

D) 544ltr

E) 576ltr

View Answer

** Option B**

Solution:

A = 16 â€¦â€¦â€¦â€¦.11 Â Â Â Â Â Â Â Â (LCM = 176)

A+B=22 â€¦â€¦â€¦â€¦8

So B = 11-8 = 3

176/3 * 9= 528ltr.

- A & B can do a work in 35 days and 45 days respectively. They worked for 10 days and after then they complete the work with the help of C in 15 days. If they all get Rs 770. Then find the share of C?

A) 330

B) 270

C) 190

D) 170

E) 250

View Answer

** Option D**

Solution:

A = 35â€¦â€¦â€¦â€¦..11 Â Â Â Â Â (LCM = 385)

B = 45â€¦â€¦â€¦……9

A+B=20

20*10 =200

Remaining 385-200=185

This work is completed in 5days. So 185/5=37

A&B 5days work = 20*5=100

Câ€™s 5days work =85

A………….B………………C

11*15 Â Â 9*15 Â Â Â Â Â Â Â 85

165 Â Â Â Â 135 Â Â Â Â Â Â Â 85

33 Â Â Â Â Â Â 27 Â Â Â Â Â Â Â Â 17

Câ€™s share = 17/77 Â * 770 = 170

- 1 man or 2 women or 3 children can do a work in 55 days. Find in how many days 1 man and 1 woman and 1 child can do the work?

A) 30days

B) 24days

C) 25days

D) 28days

E) 32days

View Answer

** Option A**

Solution:

1M = 55 Â 1

2W =55 Â Â 1 Â Â Â Â Â Â 55

2C =55 Â Â 1

We need 1day work of â€¦ 1M +1W+1C= 1+1/2+1/3 =11/6

So â€¦â€¦.. 55/(11/6) = 55/11 * 6=30 DAYS

- A can a work in 50 days and B is 50% efficient than A. find in how many days A and B together can complete the work?

A) 30

B) 40

C) 50

D) 33(1/3)

E) 16(2/3)

View Answer

** Option D**

Solution:

B is 50% efficient than A

. Â Â Â Â Â Â Â Â Â A………..B

Efficiency Â Â Â 2……….. 1

Days Â Â Â Â Â Â 1…………2

1 == 50 Â . So 2 == 100

A= 50……….2 Â Â Â Â Â Â Â (LCM = 100)

B =100………1

A+ B = 3

100/3 =33(1/3) days.

- A and B can do a work in 60days. B and C can do same work in 40 days and C and A can do same work in 50 days. Find in how many days will A,Band C work together will finish the work?

A) 32(16/37)

B) 42(14/37)

C) 33(7/37)

D) 43(9/37)

E) 39(7/37)

View Answer

** Option A**

Solution:

A+B = 60…………10

B+C = 40………….15â€¦â€¦â€¦â€¦â€¦.(LCM =.600)

C+A = 50………….12

2(A+B+C) Â Â Â Â Â Â 37

A+B+C = 37/2

= 600/37 * 2 = 32(16/37)

…..:)

sir 0-0

heheehehe rom sir…;)

yaa sir…ryt…….:) electrically erasable???

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O_O

rom sir kha?????

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thankyou ???

in the 9th question B 50% than A so we take half of days from A. But here B=100 how?

thankyou ðŸ™‚

were??

3rd me typo hai A – 10000 Per hour

mujhe lga second question ki bt ho rhi hehehehhehe…;)))

mistake in answer no 7

check once

yess we ll correct that ..ty

Q7 ki solution samaj me nhi aya

thank you mam:)

Some problem in 2nd Question and 3rd Questions also 1000 replace with 10000

ty:))

mam speed mathnke liye knsi book sahi h… calculation improve krne ke liye…. aur Arun Sharma ki DI ki book kaisi h..

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