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Numerical Ability
Time and Work
A, B and C can do a piece of work in 20, 30 and 60 days
respectively. In how many days can A do the work if he
is assisted by B and C on every third day?
Read Solution (Total 18)
-
- one day work done by A=1/20
work done by A in 2 days=1/10
work done by A,B,C on 3rd day=1/10+1/10=1/5
1/5th of the work will be completed at the end of 3 days
the remaining work =1-1/5=4/5
1/5 of work is completed in 3 days
total work wiil be done in 3*5=15 days
- 8 years agoHelpfull: Yes(26) No(4)
- lcm(20,30,60)=60.
Let total work have to be done is 60 units.
From question,A can do 3 unit of work in a day so that it can complete 60 unit of work in 20 days.
similarly B can do 2 units a day and C 1 unit a day.
Now the work done by A in 2 days are 3+3=6 units
and with the help of B and C he can do 6 unit of work in a single day.
So in first 3 days the 12 units of work can be done
12*5=60 units
therefore 5 times 0f 3 days will take to complete the 60 units work.
that's 3*5=15 days
hence 15 days is the correct answer.
- 8 years agoHelpfull: Yes(17) No(0)
- one day work of A=1/20
one day work of B=1/30
one day work of C=1/60
one day work of A,B and C=1/20+1/30+1/60
=1/10
(2/20+1/10)x=1
(2/10)x=1
x=5
therefore 3*5=15 - 8 years agoHelpfull: Yes(11) No(0)
- 3/20 + 1/30 + 1/60 = 1/5 (3 days work)
1/5 work completed in 3 days
so work completed in 3*5 = 15 days - 8 years agoHelpfull: Yes(8) No(0)
- A's 2 day's work = 1 x 2 = 1 .
20 10
(A + B + C)'s 1 day's work = 1 + 1 + 1 = 6 = 1 .
20 30 60 60 10
Work done in 3 days = 1 + 1 = 1 .
10 10 5
Now, 1 work is done in 3 days.
5
Whole work will be done in (3 x 5) = 15 days. - 8 years agoHelpfull: Yes(7) No(4)
- first 2 days A alone works..A's 1 day work is 1/20.
work done by A in 2 days is 1/10.
work done by A,B and C together is 1/10.
So, total work done in 3 days (by A alone for 2 days and all together in 3rd day ) is 2/10.
so in 3 days only 20% of work(i.e 2/10) is completed. So full work i.e 100% work(10/10=1) can be done in 5*3=15 days.. - 8 years agoHelpfull: Yes(6) No(0)
- a=1/20
b=1/30
c=1/60
a's 2 days work=1/10
(a+b+c')s 1 days work=1/20+1/30+1/60=1/10
3 days work=1/10+1/10=1/5
1/5 th work in 3days
remaining 5*3=15 days - 7 years agoHelpfull: Yes(2) No(0)
- A's 2 day's work = 1 x 2 = 1 .
20 10
(A + B + C)'s 1 day's work = 1 + 1 + 1 = 6 = 1 .
20 30 60 60 10
Work done in 3 days = 1 + 1 = 1 .
10 10 5
Now, 1 work is done in 3 days.
5
Whole work will be done in (3 x 5) = 15 days. - 8 years agoHelpfull: Yes(1) No(0)
- A's one day work will be 5%
As it is given that at every 3rd day B and C join A.
hence A's two days work will be 10%.
now (A+B+C)'s one day work will be 10%.
now calculate the % when it will become 100% stop counting.
ans. will be 15 days. - 7 years agoHelpfull: Yes(1) No(0)
- they have to complete 60 units
A can complete 3 units in a day
so in 2 days a complete=6 units
on third day he will be assisted by b and c
so on third day=3+2+1=6
in overall 3 days=12 units
so in 15 days they complete 16 units - 7 years agoHelpfull: Yes(1) No(0)
- in 15 days a will do his work completely..
- 8 years agoHelpfull: Yes(0) No(0)
- 15 days because on every 3 days total work is 120 units
- 8 years agoHelpfull: Yes(0) No(0)
- A =5% work in 1 day
B=3.33% in 1 day
C=1.66% in 1 day
B+C= 5% in 1 day(approx)
work done by A in 3 days = 15%
Work done by C+B on 3rd day=5%
Total % of work in 3 days =15+5=20%
Hence, for 100% work total no. Of days required=3*5=15days - 7 years agoHelpfull: Yes(0) No(0)
- given that a is assisted by b every 3rd day
i.,3 days work=1/20+1/20+(1/20+1/30+1/40)=1/5
by mul 5 to the above value+5/5=1
then the whole work is completed in 5*3(for every 3 days1/5)=15days - 6 years agoHelpfull: Yes(0) No(0)
- unit work of A, b and C= 3, 2, 1 respectively if we let total work to be 60
Now,
by the end of the third day, total work done is
3 +3 +(3+2+1)=12
So, 60/12=5 times is required to complete the work in chunks of 12 work
Every chunk requires 3 days
So, total days=5X3=15 Ans. - 6 years agoHelpfull: Yes(0) No(0)
- Take lcm of 20 30 60
A can do 3 unit per day
B- 2 unit per day
C- 1 unit per day..
12 units are done in 3 days
So 60×3%12
And. Is 15 - 5 years agoHelpfull: Yes(0) No(0)
- one day work done by A=1/20
work done by A in 2 days=1/10
work done by A,B,C on 3rd day=1/10+1/10=1/5
1/5th of the work will be completed at the end of 3 days
the remaining work =1-1/5=4/5
1/5 of work is completed in 3 days
total work wiil be done in 3*5=15 days - 5 years agoHelpfull: Yes(0) No(0)
- Work done by A = 1/20.
Work done by B= 1/30.
Work done by C= 1/60.
Now, work done by A in 2 days is= (1/20) * 2 = 1/10.
And work done by A,B,C in one day= 1/20 + 1/30 + 1/60 = (3+2+1)/60 = 6/60 = 1/10.
And the work done in first 3 days = 1/10 + 1/10 = 1/5.
So we can say that 1/5 part of work is done= in 3 days.
And A complete work is done in=. 3/(1/5) = 3*5 = 15 days. - 1 year agoHelpfull: Yes(0) No(0)
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