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

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

View Answer
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
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

View Answer
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
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.

View Answer
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.
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.

View Answer
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
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.

View Answer
Option D
Solution:
24*12 – 24*4 =( 24+8 )x
By solving we get x = 6 days
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.

View Answer
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
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.

View Answer
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
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.

View Answer
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.
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

View Answer
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
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.

View Answer
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

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$~$PrAdeEP$K$~$~$

July 3, 2017 at 6:22 pm

gud questions mam…..:))))

Reply
Gusto

July 3, 2017 at 6:42 pm

thank u ambi mam!!!

Reply
1. Ambika
  
  July 3, 2017 at 6:44 pm
  
  :))
  
  Reply
  1. Gusto
    
    July 3, 2017 at 6:53 pm
    
    something is missing — A receives % of the profit ???
    
    Reply
    1. Sachin Shukla
      
      July 3, 2017 at 6:54 pm
      
      nai yr miss nahi h..
      
      Reply
      1. Gusto
        
        July 3, 2017 at 6:56 pm
        
        % ke sath koi numerical value honi chahiye na .. but yha sirf % ka sign hi hai
      2. Sachin Shukla
        
        July 3, 2017 at 6:57 pm
        
        jo qsn tha usme yahi h haa lgta to h k koi value chahiye..
      3. Gusto
        
        July 3, 2017 at 6:58 pm
        
        to fir Qn me % ke sath value missing hai …bina % ki value jane ham qn kaise solve kar sakte hai
Keyur

July 3, 2017 at 7:03 pm

thanx ambika mam

Reply
Gusto

July 3, 2017 at 7:06 pm

congrats ambi mam for sbi po mains :))

Reply
1. Ambika
  
  July 3, 2017 at 7:08 pm
  
  thankyou so much vishal :))))
  
  Reply
  1. AMAZON
    
    July 3, 2017 at 8:15 pm
    
    @@disqus_sqmL5JaJJZ:disqus Mam, have you got any idea about what is going to be the ratio between GD AND PI and MAINS MARKS RATIO?
    
    AND vacancy 2500 ? aur mains m kitne select kre h bacche ?
    
    Reply
    1. Ambika
      
      July 3, 2017 at 8:56 pm
      
      not much …but i ll let u know as i get to know something ok
      and congrats :))
      
      Reply
      1. AMAZON
        
        July 3, 2017 at 9:03 pm
        
        congrats to you too Madam.
        Thank you,
      2. Ambika
        
        July 3, 2017 at 9:03 pm
        
        🙂
      3. AMAZON
        
        July 3, 2017 at 9:34 pm
        
        always be happy 🙂
      4. thinker
        
        July 3, 2017 at 11:05 pm
        
        Conjgratulate mam
      5. Ambika
        
        July 4, 2017 at 12:52 am
        
        ty so much :))
      6. KaRi$hMa
        
        July 4, 2017 at 8:57 am
        
        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
        
        July 4, 2017 at 10:10 am
        
        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
        
        July 4, 2017 at 10:16 am
        
        thnku so much …u r so nice..:):)
        ok i will surely msg u if i need..thnku so much..:):)
      9. Ambika
        
        July 4, 2017 at 10:18 am
        
        🙂
      10. AMAZON
        
        July 3, 2017 at 9:04 pm
        
        mam gd pi kab h kuch idea
      11. Ambika
        
        July 3, 2017 at 9:05 pm
        
        yess abhi no idea wese
        mail aa jayega 2-3 days me uska sab selected candidates ko
Shubhra

July 4, 2017 at 8:56 am

Good Morning
What problem are you getting?

Reply
1. Shubhra
  
  July 4, 2017 at 9:28 am
  
  Home page pe right side par discussion zone ka link hai.
  Can you see it ?
  Below doubts posting page
  
  Reply
  1. Shubhra
    
    July 4, 2017 at 9:35 am
    
    Phone se use kar rahi ho ?
    
    Reply
    1. Shubhra
      
      July 4, 2017 at 8:27 pm
      
      Quiz just started
      
      http://aspirantszone.com/discussion-zone-04-july-2017/
      
      Reply
      1. Shubhra
        
        July 4, 2017 at 10:47 pm
        
        yes
  2. Ambika
    
    July 4, 2017 at 10:20 am
    
    i ll give u link :))) no pblm
    
    Reply
NAZRIYA

July 4, 2017 at 10:51 am

awesome explntion ty ambi 🙂

Reply
M@nish...

July 4, 2017 at 1:25 pm

shubhra mam pls check Q7

Reply
1. ??????????||ꀸΞ౮ɿՆɿς||√乇刀り乇ｲｲﾑ™
  
  July 4, 2017 at 5:57 pm
  
  whats wrong in that qo ?
  
  Reply
Diya

July 4, 2017 at 4:09 pm

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

Reply
1. $~$PrAdeEP$K$~$~$
  
  July 4, 2017 at 5:12 pm
  
  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
  
  Reply
Ruchiie

July 4, 2017 at 10:19 pm

Mam 8 n 9 ni Ara smj..

Reply
EKTA

July 7, 2017 at 12:42 pm

thank u mam

Reply
Parag Chavda

July 22, 2017 at 4:18 pm

7/10 nice questions. very helpful
thank you

Reply