Latest TCS Aptitude Question SOLUTION: A alone can do a piece of work in 10 days,B alone in 12 days,C alone in 15 days.If All start work at same day.A works for two days and C leaves before 3 days of remaining work.In h

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A alone can do a piece of work in 10 days,B alone in 12 days,C alone in 15 days.If All start work at same day.A works for two days and C leaves before 3 days of remaining work.In how many days work will finish?

Asked In TCS Manideep (9 years ago)

Unsolved Read Solution (29)

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Read Solution (29) :

Sourav ganguly  (9 years ago)

B will work for all x days to complete the entire work
2/10+x/12+(x-3)/15=1
=>x=20/3

Is this solution Helpfull? Yes (62) | No (9)  

samiksha srivastava  (9 years ago)

LCM(10,12,15)=60
Let total work required to be done=60
A 1day work=6
B 1 day work=5
C 1 day work=4
Let the whole work is completed in x days
=>6(2)+4(x-3)+5x=60
x=20/3

Is this solution Helpfull? Yes (27) | No (5)  

miraj ansari  (9 years ago)

A's work done =1/10
B's work done =1/12
C's work done =1/15 in 1 days

A+B+C=1/10+1/12+1/15= 1/4
A,B,C work for 2 days so 2*1/4=1/2

C leaves before 3 days remaining work so 3*1/15=1/5

So total work done in 5 days(3+2)=1/2+1/5=7/10

remaining work = 1-7/10=3/10

3/10 work done by B and C in x days
3/10=x(1/12+1/15)

x=2 days
So A,B,C work for 2 days
B,C WORKS for 2 days
C works for 3 days
total 2+3+2=7 Ans

Is this solution Helpfull? Yes (23) | No (14)  

Ashita saxena  (9 years ago)

1 day work of a,b&c=(1/10+1/12+1/15)= 1/4
2 day work of a,b&c= 2*(1/4)= 1/2
left work 1-1/2= 1/2
3 day work of b= 3*1/12= 1/4
b& c together do 1/4th work in 5/3 days
total days =2+5/3+3= 20/3

Is this solution Helpfull? Yes (14) | No (1)  

prasann  (9 years ago)

7 days
total work 60
all work for 2 day ,work 30 done
c work for 3 days alone ,work 12done

remaining work to be done is 18,
18/9=2 days
so 2+2+3=7 is the ans

Is this solution Helpfull? Yes (7) | No (4)  

K Sudharshan reddy  (9 years ago)

take the lcm of all three numbers as number of units of work in this case 60
so A can do 6 units of work in 1 day
and B can do 5 units of work in 1 day
and C can do 4 units of work in 1 day.
Let work is completed in x days
A worked for 2 days so he completes 12 units of work
remaining is 45 units of work
As per problem B worked for (x-3) days so B completes (x-3)5 units of work
and C completes 4x units of work
so solve (x-3)5+4x=48
ans is 7 days

Is this solution Helpfull? Yes (3) | No   

Navdeep Singh  (9 years ago)

7 days , since a,b,c work together for 2 days , then work done =60 , reamining work 60 , c leaves before 3 days , hence work done by c=3*8=24 , remaining work is 36 which is completed in 2 days by b and c combined , hence total days =7

Is this solution Helpfull? Yes (2) | No (3)  

prasad polineni  (9 years ago)

A can do 1/10
b 1/12
c 1/15
A,B,c to gether 1/10+1/12+1/15=1/4
to gether 4

A works 2 days nd c leaves bfore 3 days so 4+3=7

Is this solution Helpfull? Yes (2) | No (4)  

dinesh  (9 years ago)

let a work efficiency as 1/5
b s work x/12
c 's (X-3)/15
by adding all, ans is : 20/3

Is this solution Helpfull? Yes (2) | No (1)  

Aritra Das  (9 years ago)

A does 10%
B 8.33%
C 6.66% work per day
together in two days they do 50% work
now 3 days before finish C leaves means B work alone for 3 days
3*8.33=25% work
left work is 25% that is being done by B and C
in 25/(8.33+6.66) =5/3 days
so total days=
2+5/3+3
20/3

Is this solution Helpfull? Yes (2) | No   

Rohit kumar  (9 years ago)

Answer=20/3

In 1 day work of A=1/10
In 1 day work of B=1/12
In 1 day work of C=1/15

Let x is working day of B and C
So,
2(A+B+C) + 3(B) + x(B+C)=1(=Total work)
2(1/10+1/12+1/15) + x(1/12+1/15) + 3(1/12)=1
x=5/3

Total working day=2+3+5/3
=20/3

Is this solution Helpfull? Yes (2) | No (1)  

prashansa  (9 years ago)

2/10+(x-3)/12+x/15=1
x=7

Is this solution Helpfull? Yes (1) | No (5)  

krishna  (9 years ago)

A-10days,b-12days,c-15days
let x be total no of days,then equationsare
x/12+(x-3)/15+2/10=20/3=6.667days

Is this solution Helpfull? Yes (1) | No   

Sony Kumari  (9 years ago)

work completed by A,B,and C together is (1/10+1/12+1/15)=1/4
As A works for two days so work done by A is ((1/10)*2)=1/5
As C leaves before 3 days of remaining work ,so work will be done by B which is ((1/12)*3)=1/4
Now works remain to do (1-(1/5+1/4))=11/20
Now work done by B and C together in one day is (1/12+1/15)=9/60
so 9/60 work is done in one days
so 1 work will done in 60/9 days
and 11/20 work will be done in 60/9*11/20
so work will be finish in 11/3 +2+3=26/3 days

Is this solution Helpfull? Yes (1) | No   

vidhya suresh  (9 years ago)

let n is the total number of days, then work done by c is (n-3)/15.
work done by A is 1/5. work done by B is n/12.
(1/5)+(n/12)+((n-3)/15)=1
on solving n=20/3=6.6666666
i.e approximately 7 days of work.

Is this solution Helpfull? Yes (1) | No   

sakthi prakash  (6 years ago)

A=1/10 B=1/12 C=1/15
1/10+1/12+1/15=1/4
TWO DAYS WORK: 2(1/4)=1/2
REMAINING WORK= 1-1/2=1/2
LET X=REMAINING DAYS
(X-3)(1/12)+(X/15)=1/2
X=5................

Is this solution Helpfull? Yes (1) | No   

lakshmi narayanan  (9 years ago)

29/60 days

Is this solution Helpfull? Yes | No (5)  

sarveshwar tiwari  (9 years ago)

total no days=7

Is this solution Helpfull? Yes | No (4)  

karthik  (9 years ago)

ans is 6(2/3) days

Is this solution Helpfull? Yes | No (1)  

Pulakendu Biswas  (9 years ago)

Ans:6.2days

Is this solution Helpfull? Yes | No   

Abhas  (9 years ago)

34/5 days

Is this solution Helpfull? Yes | No   

ch.vinodkumar  (9 years ago)

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

Is this solution Helpfull? Yes | No (2)  

ARCHIE GUPTA  (9 years ago)

work is finished in 7 days

Is this solution Helpfull? Yes | No (7)  

Anant Vardhan  (9 years ago)

8.3 Days. As together a+b+c will complete it in 2d and b will complete it in 3 days so remaining work will be completed by (b+c) in 10/3 days. So total days required are 8.3 days.

Is this solution Helpfull? Yes | No (3)  

arti   (9 years ago)

A 2 day work 2/10
let work is completed x day
2/10+x-3/12+x/15=1
x=7

Is this solution Helpfull? Yes | No (1)  

Tipparaju Krishna  (9 years ago)

B will work for all x days to complete the entire work
2/10+x/12+(x-3)/15=1
=>x=20/3

Is this solution Helpfull? Yes | No   

Parvez khan  (9 years ago)

60/9 final answer

Is this solution Helpfull? Yes | No   

vivek kumar  (9 years ago)

14 daysss

Is this solution Helpfull? Yes | No (1)  

Chandramohan  (3 years ago)

The answer is 7 days

Is this solution Helpfull? Yes | No   

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