# Quantitative Aptitude: Time and Work Set 9

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

1. A cistern can be filled by two pipes separately in 6 and 9 mins respectively. Both pipes are opened together for a certain time but being clogged, only 5/6 of full quantity water flows through the first and only 3/4 through the second pipe. The obstructions, however, being suddenly removed, the cistern is filled in 2 mins from that moment. How long was it before the full flow began?
A) 3 min
B) 2 min
C) 1 min
D) 2.5 min
E) 1.5 min
Option  B
Solution:
total units …….36
first pipe ………36/6 = 6 units
second………….36/9 = 4units
now, ( 5/6 * 6 + 3/4* 4 ) T + 2 ( 6+4 ) = 36 >> T =2
2. Ram and mohan together can complete typing a book of 1575  pages in 25  days working 15 hrs per day. Ram is 20% more efficient than Mohan. A page contains an average of 275 words, then how many words can ram type in an hour?
A) 525
B) 600
C) 625
D)630
E) 645
Option D
Solution:
Ram : mohan = 6:5
R+M = 11
R+M = 1575 * 275 / 15* 25 = 1155 words in 1 hour
ram will type = 1155 * 6/11 = 630 words in 1 hour
3. Subhash can copy 70 pages in 16 hours ; Subhash and Prakash together can copy 275  pages in 40 hours. In how much time can Prakash copy 30 pages ?
A) 15 hr.
B) 12 hr.
C) 14  hr.
D) 18 hr.
E)  None of these.
Option B
Solution:
Subhash can copy 70 pages in 16 hours so In 40 hours he can copy 70*2.5 = 175 pages. Hence prakash can copy 100 pages in 40 hours . Thus , he can copy 30 pages in 30% of the time i.e 12 hours.
4. A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days could each do the work by himself ?
A) 24, 12, 36
B) 24, 16, 12
C) 16, 48, 24
D) 24, 36, 12
E) None of these.
Option C
Solution:
Total work  = 48 ,… A+B = 4 ….B+C = 3
now, 5A + 7B + 13C = 48
split it
5A +5B + 2B + 2C + 11C = 48
so 5*4 + 2*3 + 11c = 48
so 11c = 22 …… c = 2
so c alone = 48/2 = 24
A — 48/3 = 16
B— 48/1 =48
5. 24 men take 12 days to complete a piece of work . They worked for a period of 4 days . After that , they were joined by 8 more men . How many more days will be taken by them to complete the remaining work?
A) 8 days
B) 9 days
C) 7 days
D) 6 days
E) None of these.
Option D
Solution:
24*12 – 24*4 =( 24+8 )x

By solving we get x = 6 days
6. In two days A, B and C together can finish 1/4 of a work and in another 2 days B and C together can finish 1/5 part of the work. Then A alone can complete the whole work in?
A) 10 days
B) 20 days
C) 40 days
D) 35 days
E)  None of these.
Option C
Solution:
work ……. 20
a+b+c = 5 in 2 days
b+c = 4 in 2 days
a = 1 in 2 days >> 40 days total
or
2(a+b+c) =1/4 =>a+b+c =1/8
2(b+c) =1/5 =>b+c =1/10 >  a =1/8-1/10 =1/40 =40 days
7. A team of 100 men is supposed to do a work in 60 days. After 35 days, only 5/12 of the work was completed, so to complete the work before 40 more men were employed. If 40 men were not employed, how many extra days were required to complete the work by earlier number of men?
A) 11 days
B) 15 days
C) 12 days
D) 14 days
E) None of these.
Option D
Solution:
100 men completed 5/12 work in 35 days
So 100 men can complete the remaining 7/12 work in 49 days:

Use M1*D1*W2 = M2*D2*W1
100*35*(7/12) = 100*D2* (5/12)
D2 = 49 days
But after 35 days, 40 more men were employed, so 140 men now and they completed 7/12 work in
By M1*D1*W2 = M2*D2*W1
100*35*(7/12) = 140*D2*(5/12)
D2 = 35 days
So extra days = 49-35 = 14 days
8. Two typist of varying skills can do a job in 6 minutes if they work together. If the first typist typed alone for 4 minutes and then second typed for 6 minutes , they would be left with  1/5 of the whole work. How many minutes would it take the slower typist to complete the work alone ?
A) 10 min
B) 12 min
C) 15 min
D) 20 min
E) None of these.
Option C
Solution:
The first typist types for 4 minutes and second one for 6 minutes , the work left would be the work the first typist can do in 2 minutes. Thus the time taken by the first typist to do the work would be 10 minutes and his rate of work would be 10% per minute . Since both can do whole work in 6 minutes their combined efficiency = 100/6 = 16.66% > second typist = 6.66%
so he would take = 100/6.66 = 15 minutes.
9. Tap A  can fill a tank with water in 10 hrs. Tap B fills the same tank with milk in 12.5 hrs. A man who wanted to fill the tank with the mixture opens tap A first , which already contains 8% milk of its own capacity. After two hours he opened tap B till the tank gets filled completely. In what proportion should he mix this solution with the other one containing water and milk in the ratio 2 : 3, so that the new solution will contain half milk and half water?
A) 2:3
B) 1:1
C) 1:2
D) 2:1
E) 1:3
Option B
Solution:
Total work  – 50
a== 5
b== 4
it already contain 8% milk = 4 lit
a—- in 2 hrs = 5*2 = 10 lit water
so, total fill = 14 lit. remain. = 36 lit
done by a+b in 36/9 = 4 hrs
so,water added by a — 4*5 = 20 litre
milk added by b —- 4*4 = 16 litre
so. Total water ==== 10 + 20 = 30 litre
Total milk ===== 4 + 16 === 20 litre
W:M = 3:2
now 3/5______________2/5
____________1/2_______1:1
10. A, B, C complete a work in 15, 20 and 30 days . They work together for sometime after which C left. A total of 18000 rs is paid for the work and B gets 6000 rs more than C.For how many days did A work ?
A) 8 days
B) 10 days
C) 12 days
D) 7 days
E) None of these.
Option A
Solution:
Total work  = 60
A — 4 ,, B– 3 ,,,, C — 2
let A &B work for x days
Then work done by A = 4x
B = 3x
C =60- (4x+3x)
So ratio of their share
4x : 3x : 60-7x
Difference between b and c = 3x – (60-7x) = 10x – 60
( 10x – 60)/60 * 18000 = 6000
so,x =8

## 38 Thoughts to “Quantitative Aptitude: Time and Work Set 9”

1. \$~\$PrAdeEP\$K\$~\$~\$

gud questions mam…..:))))

2. Gusto

thank u ambi mam!!!

1. Ambika

:))

1. Gusto

something is missing — A receives % of the profit ???

1. Sachin Shukla

nai yr miss nahi h..

1. Gusto

% ke sath koi numerical value honi chahiye na .. but yha sirf % ka sign hi hai

2. Sachin Shukla

jo qsn tha usme yahi h haa lgta to h k koi value chahiye..

3. Gusto

to fir Qn me % ke sath value missing hai …bina % ki value jane ham qn kaise solve kar sakte hai

3. Keyur

thanx ambika mam

4. Gusto

congrats ambi mam for sbi po mains :))

1. Ambika

thankyou so much vishal :))))

1. AMAZON

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AND vacancy 2500 ? aur mains m kitne select kre h bacche ?

1. Ambika

not much …but i ll let u know as i get to know something ok
and congrats :))

1. AMAZON

Thank you,

2. Ambika

🙂

3. AMAZON

always be happy 🙂

4. thinker

Conjgratulate mam

5. Ambika

ty so much :))

6. KaRi\$hMa

wow i knew it already ki apka jrur hoga…a big congratulations..nd final bhi hoga dekhna..:):) all the very best for next rounds …:):)

7. Ambika

so sweet 🙂
thankyou so much :)) i wish tha same for u …work hard ok now time is less and if u face pblm u can msg me anytime

8. KaRi\$hMa

thnku so much …u r so nice..:):)
ok i will surely msg u if i need..thnku so much..:):)

9. Ambika

🙂

10. AMAZON

mam gd pi kab h kuch idea

11. Ambika

yess abhi no idea wese
mail aa jayega 2-3 days me uska sab selected candidates ko

5. Shubhra

Good Morning
What problem are you getting?

1. Shubhra

Can you see it ?
Below doubts posting page

1. Shubhra

Phone se use kar rahi ho ?

1. Shubhra

Quiz just started

http://aspirantszone.com/discussion-zone-04-july-2017/

1. Shubhra

yes

2. Ambika

i ll give u link :))) no pblm

6. NAZRIYA

awesome explntion ty ambi 🙂

7. M@nish...

shubhra mam pls check Q7

1. ??????????||ꀸΞ౮ɿՆɿς||√乇刀り乇ｲｲﾑ™

whats wrong in that qo ?

8. Diya

Two typist of varying skills can do a job in 6 minutes if they work together. If the first typist typed alone for 4 minutes and then second typed for 6 minutes , they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the work alone ?

A) 10 min

B) 12 min

C) 15 min

D) 20 min

E) None of these.
please explain this question ambika ma;am

1. \$~\$PrAdeEP\$K\$~\$~\$

T(1)+ T(2) =1/6—-(1)
4T(1) +6T(2) =4/5—(2)
SOLVE BOTH BY SUBSTITUTION METHOD
T(1) =1/10 =10 MINS & T(2) =1/15 =15MINS
SO SLOWER TYPIST TAKE 15 MINS TO DO WORK ALONE

9. Ruchiie

Mam 8 n 9 ni Ara smj..

10. EKTA

thank u mam

11. Parag Chavda