Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 4)
4.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Answer: Option
Explanation:
Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
| If difference of time is 60 days, B takes |  |
3 | x 60 |  |
= 90 days. |
| 2 |
So, A takes 30 days to do the work.
| A's 1 day's work = | 1 |
| 30 |
| B's 1 day's work = | 1 |
| 90 |
| (A + B)'s 1 day's work = | |
1 | + | 1 | |
= | 4 | = | 2 |
| 30 | 90 | 90 | 45 |
 A and B together can do the work in |
45 | = 22 | 1 | days. |
| 2 | 2 |
Discussion:
281 comments Page 6 of 29.
Ashirwad dubey said:
1 decade ago
Hi friends
k*x/(k^2-1)
k=3
x=60 given in que
ok friends
k*x/(k^2-1)
k=3
x=60 given in que
ok friends
ASHIRWAD said:
1 decade ago
HI FRIENDS THIS IS THE simplest method for solving this type of que....
K*S/(A^2-1)
where S=DAYS FOR FINISHING WORK(60 GIVEN IN QUE)
K=3 GIVEN IN QUE
K*S/(A^2-1)
where S=DAYS FOR FINISHING WORK(60 GIVEN IN QUE)
K=3 GIVEN IN QUE
Vikas said:
1 decade ago
I didnt understand how did we get that (3/2)*60 ?
Showry said:
1 decade ago
Hi Friends,
A:B=1:3 time taken.........since A is 3 good as B
A takes 60 days less than B
B-60:B=1:3............
i.e B-60/B=1/3..... B=90 days.... A=30......
(A+B)'s one day work (1/30+1/90) = (2/45)
Total work by (A+B) is 45/2 i.e 22 1/2.............
A:B=1:3 time taken.........since A is 3 good as B
A takes 60 days less than B
B-60:B=1:3............
i.e B-60/B=1/3..... B=90 days.... A=30......
(A+B)'s one day work (1/30+1/90) = (2/45)
Total work by (A+B) is 45/2 i.e 22 1/2.............
Gowri said:
1 decade ago
kl/(k)^2-1
k=3
l=60
3*60/(3)^2-1
=45/2
=22.5
k=3
l=60
3*60/(3)^2-1
=45/2
=22.5
Nagarjun said:
1 decade ago
@Vikas
Its just cross multiplication.
If the difference is 2 days then b takes 3 days
If the difference is 60 days then b takes x days
Hence, x= (60*3)/2.
I think you got it now.
Its just cross multiplication.
If the difference is 2 days then b takes 3 days
If the difference is 60 days then b takes x days
Hence, x= (60*3)/2.
I think you got it now.
Naresh kumar said:
1 decade ago
Thank you guys.
Malini said:
1 decade ago
Sheetal thanks a lot dear. This short cut is very much easy.
Baskar said:
1 decade ago
@bharathi
i think u r in confusion..
just know dat
work = day..
1 day = 2/45 works..
in ques ask abt "work"?
den cross mul
1 work = 45/2 days..
now u got it
i think u r in confusion..
just know dat
work = day..
1 day = 2/45 works..
in ques ask abt "work"?
den cross mul
1 work = 45/2 days..
now u got it
G.P. said:
1 decade ago
SIMPLE AND BEST WAY
since a is thrice better than b
hence a:b=1:3
similarly a takes 60 days less than b
hence a:b=(b-60):b=1;3
cross multiplication n we get
3b-180=b hence b=90days hence a=30days
1/90+1/60=4/90 hence total daysreciprocal 90/4=45/2
since a is thrice better than b
hence a:b=1:3
similarly a takes 60 days less than b
hence a:b=(b-60):b=1;3
cross multiplication n we get
3b-180=b hence b=90days hence a=30days
1/90+1/60=4/90 hence total daysreciprocal 90/4=45/2
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers