Latest TCS Aptitude Question SOLUTION: . A and B can do a work in 20 and 30 days respectively. If they have one-day holiday after every four days of working in how many days can they complete the whole work? (1) 12

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. A and B can do a work in 20 and 30 days respectively. If they have one-day holiday after every four days of working in how many days can they complete the whole work?
(1) 12 (2) 14 (3) 16 (4) 15

Asked In TCS kirti khatri (9 years ago)

Unsolved Read Solution (20)

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AMIT KUMAR SINGH  (9 years ago)

we know , A and B work whole work in 20 and 30 days , it means when we take LCM it should be 60 unit work they have to complete so A can complete 3 unit per day (60/20) adn B complete 2 unit per day(60/30) then A+B=3+2=5 unit per day
So 60 unit whole work (60 units/5 units per day) it means 12 days to complete but 2 holidays will be there so Ans will be 14 days

Is this solution Helpfull? Yes (30) | No   

Neha Dubey  (9 years ago)

14 days.
12 days to complete+2 days holiday
12+2=14

Is this solution Helpfull? Yes (5) | No   

sruthi  (9 years ago)

a+b take 20+30/(20*30) days to complete that is 12 days
if after 4 days is holiday there will be lack of 2days

so 12+2=14 days

Is this solution Helpfull? Yes (2) | No   

harsha khatri  (9 years ago)

@KIRTI......
IF A can complete a work in 20 days and take rest at 4 days mean
1 2 3 4 _5 will be rest day
6 7 8 9 _10 rest
11 12 13 14 _15 rest
16 17 18 19 _20 rest day
mean he will complete the work in 24 days

now if we see B will complete the work 36 days like
1 2 3 4 _5 rest
6 7 8 9 _10rest
_15
_20
25
30 mean he can complete the work in 30 days but after taking rest 36 days
so
1/A+1/B=1/24+1/36
=3/36
=1/12
A+B=12 THEY AN COMPLETE THE WORK IN 12 DAYS
KIRTI NOW GOT OR NOT.........
Read more at http://www.m4maths.com/placement-puzzles.php?ISSOLVED=&page=1&LPP=10&SOURCE=tcs&MYPUZZLE=&UID=&TOPIC=&SUB_TOPIC=#zdtscFbTItQpWQ81.99

Is this solution Helpfull? Yes (1) | No (7)  

ANIMESH GORAI  (9 years ago)

14 days yaar.............

Is this solution Helpfull? Yes (1) | No   

Vishal Shinde  (9 years ago)

dnt make it much complex,
1/20+1/30=1/12
worked for 4 days then,(1/12)*4=1/3
to complete work 2/3
will have to work for again 2 times
but they are having holiday in between..so,the calcluate 14 days is answer

Is this solution Helpfull? Yes (1) | No   

harsha khatri  (9 years ago)

12 days.......

Is this solution Helpfull? Yes | No (2)  

kirti khatri  (9 years ago)

plzz explain ms harsha

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prakhar saxena  (9 years ago)

14 days becoz in 12 days they both complete the work and plus 2 days for their holidays so 14 days..

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kirti khatri  (9 years ago)

u made it so complicated...bt nice try...

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kundan roy  (9 years ago)

Applying unitary method-it needs 14days.

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kundan roy  (9 years ago)

Applying unitary method-it needs 14days.

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swati singh  (9 years ago)

A & B do 60 wrk.....A do alone 2 wrk/day....B do 2wrk/ day.
hence total work is 5/day....
hence 60 work can be done in 12 days(60/5)
but there z holiday after 4 working day so total day =12+2=14days

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ANURAG PRAJAPATI  (9 years ago)

ans - (b) 14

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sonika bhati  (9 years ago)

20+30/20*30=12 days
2 holiday so 12+2=14 days

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vivek kumar  (9 years ago)

14 two holidays

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sandeep kumar  (9 years ago)

12+2 =14 DAYS

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Agnibha Ghosh  (9 years ago)

work done by A & B in 4 days= 4(1/20+1/30)= 1/3
so evidently remaining work will be finished by them in= (1-1/3)/(1/20+1/30)= 8days
considering the holidays in between total days needed will be= 12days of work+ 2days of holiday= 14days

so option (2) is correct

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Subitra Pawar  (4 years ago)

4/20+4/30=1/3 amount of work is done in 4 days. similarly whole work is done in 14 days

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MUSE POONGKUNDRAN  (4 years ago)

i dont know

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