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Time and Work
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work
Read Solution (Total 18)
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- ratio=2:1
both finish the work=1/18
a can finish=1/18*2/3=2/54=1/27
ANS=27............... - 8 years agoHelpfull: Yes(17) No(0)
- assume B completes 1unit of work per day.
=>A completes 2 units per day
=>both A and B complete 3 units per day
=>total units of work=3u*18=54 units
=> ANS :no of days for A alone=54/2=27 days - 8 years agoHelpfull: Yes(13) No(0)
- A=2x and B=x
1/2x+1/x=1/18=>x+2x/2x^2=18
3x/2x^2=1/18 when we evaluate it, it gets a values as 27
i.e A can finish the work in 27 days - 8 years agoHelpfull: Yes(5) No(3)
- Answer is 27days
A+B=18 days
if A & B one day work as ratio 2:1
Add the ratio we get total value=3
we only find A's working day
=(1/18)*(2/3)
=we get (1/9)*(1/3)
=1/27
so A Working days is 27 days - 8 years agoHelpfull: Yes(3) No(0)
- Let B complete it in B days
So as A is twice good A can complete it in B/2 days
Their one day work
2/B+1/B=1/18
B=18*3
So for A B =18*3/2=27 days - 8 years agoHelpfull: Yes(2) No(0)
- A=2B
A+B=18
let total work is 54 unit
So
A+B do 54 unit for 18 days
A+B do 3 unit work per day
As A DO TWICE WORK THEN B
therefore A do 2 unit per day
So A will take 27 days to complete cork
- 8 years agoHelpfull: Yes(1) No(0)
- Let A takes x days and B takes y days to finish the work. A is twice as good as B means A alone takes y/2 days to finish the work.
So together they take 18 days. That is (x*y)/(x+y) =18 where x=y/2.
Substituting we get 54/2=27 days as the answer. - 8 years agoHelpfull: Yes(1) No(0)
- 27 because 2x+x=3x and 3x will complete work in 18 days so 2x will complete work in 27 days
- 8 years agoHelpfull: Yes(1) No(0)
- ANS IS 27 DAYS
- 8 years agoHelpfull: Yes(1) No(0)
- A =2x and B=x in the given question
so,A and B work together is 2x+x=1/18 ---->(1)
3x=1/18
x=1/3*18
x=1/54 ---> (2)
equ (2) sub in (1)
finaly we get answer x=27...so Answer is 27.
- 8 years agoHelpfull: Yes(0) No(0)
- A=2B A+B=18
(1/A)+(1/B)=1/(A+B)
(1/A)+(2/A)=1/18
3/A=1/18
=>A=54
So, A alone can do work in 54 days
- 8 years agoHelpfull: Yes(0) No(2)
- 27 days to complete by a
- 8 years agoHelpfull: Yes(0) 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(0) No(0)
- ratio is 2:1 for efficiency ; So for days it is 1:2
- 7 years agoHelpfull: Yes(0) No(1)
- a=2b
a+b=18
solving two eqns we get a=12 - 6 years agoHelpfull: Yes(0) No(2)
- B= 2*A
A+B = 18
3A=18
A=6
So A can cmplt the work in 6days by working alone - 5 years agoHelpfull: Yes(0) No(1)
- B=2A, A=2B
They work together so,
B*2B/B+2B=18
2B/3=18
B=27days - 5 years agoHelpfull: Yes(0) No(0)
- 1/x+1/y =1/18, 1/x=2/y
- 5 years agoHelpfull: Yes(0) No(0)
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