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Maths Puzzle
Numerical Ability
Time and Work
Two friends A and B working together completed a work in 26 days. Their skills of doing the work are in the ratio 8:5. How many days will B take, if engaged alone?
(a) 10 days
(b) 16 days
(c) 12 days
(d) 18 days
Read Solution (Total 6)
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- a:b:8:5
as we want B
(5/13)*26=10
option a - 10 years agoHelpfull: Yes(3) No(2)
- how b alone can in 10 days. In 26 days b's work is 10 days. b alone means it will take more days.
8y+5y=1/26, 13y=1/26, y=1/338.
Now B's work is 1/338 *5. so B alone can do the same work in 67 5/3 days or 67.6 days. - 9 years agoHelpfull: Yes(3) No(2)
- each can do work in 8x and 5x
now both can do the work in 26 dyas
therefore
8x+5x=26
x=2
so A can do the work in 16 days and B can do the work in 10 days - 9 years agoHelpfull: Yes(2) No(1)
- efficiency*days=total work
13*26=338 total work
so B can alone do the work is 338/5=67.6 days - 4 years agoHelpfull: Yes(2) No(0)
- both can do in 26 days..
but only B can do in (5/13)*26 days..
so 10 days..
thats it.. - 10 years agoHelpfull: Yes(1) No(1)
- How B can work in 10 days...because when A+B takes 26 days then how is this possible to B take less than 26.....please explain....
- 4 years agoHelpfull: Yes(0) No(0)
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