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Numerical Ability
Time and Work
A and B together can do a piece of work in 12 days and A alone can complete the work in 18 days. How long will B alone take to complete the job?
a)30 days
b)36 days
c)6 days
d)56 days
Read Solution (Total 14)
-
- A's one day work is 1/18
(A+B)'s one day work is 1/12
Thus, B's one day work is 1/12-1/18=1/36
So, B alone can complete the job in 36 days - 12 years agoHelpfull: Yes(2) No(0)
- a+b=1/12
a=1/18
b=?
(a+b)-a=1/12-1/18=1/36
b=36 - 9 years agoHelpfull: Yes(1) No(0)
- b)36 days
(A+B)-A=B's time taken to complete the work
1/12-(1/18)=1/36
hence time taken is 36 days - 12 years agoHelpfull: Yes(0) No(1)
- (A+B)'s 1 day work=1/12
A's 1 day work=1/18
(A+B)-A=B
1/12-1/18=1/36 is B's 1 day work
B can complete the work in 36 days - 9 years agoHelpfull: Yes(0) No(0)
- 36 days
1/12-1/18=1/36
36 days
- 9 years agoHelpfull: Yes(0) No(0)
- 36days
A+B one day's work = 1/18
A's alone one day's work= 1/12
Hence B alone one day's work= 1/12 - 1/18
= 1/36
36 days
- 9 years agoHelpfull: Yes(0) No(0)
- b) 36 days
- 9 years agoHelpfull: Yes(0) No(0)
- the answer is 36 days
- 9 years agoHelpfull: Yes(0) No(0)
- A+B= 1/12=3/36
A' s alone work is 1/18=2/36
B's alone work is A+B-B= 3/36-2/36
B s is 1/36
Work done is 36 days - 7 years agoHelpfull: Yes(0) No(0)
- 36
lac 0f 12 and 18=36
be the total amount of work
work compete by A and Bin one day 3
by A=2
so by B=1
36/1=36 day - 7 years agoHelpfull: Yes(0) No(0)
- A+B=12 d
A=18 d
take LCM of both we get w=36 units
hence we can write A+B=36/12 u/d
=3 u/d --> 1eq
then,for A=36/18 u/d
=2 u/d -->2eq
(1)-(2)
A+B-A=1 u/d
B=1 u/d
hence, in 1 day B can do 1 unit of work, so,
1 day = 1 unit, hence to do 36 unit of work multiply both side by 36,we get
36 day = 36 unit
hence answer is 36 day - 6 years agoHelpfull: Yes(0) No(0)
- a+b 1 day's work is 1/12
a's 1day work is 1/18
1/18+x=1/12
solving it x= 1/36 that is one day work of b
so total is 36 days - 6 years agoHelpfull: Yes(0) No(0)
- A+B=1/12
B=1/12-1/18=1/36
therefore 36 days - 5 years agoHelpfull: Yes(0) No(0)
- B alone is 36days
- 5 years agoHelpfull: Yes(0) No(0)
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