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 14 of 29.
Taukir said:
9 months ago
A takes time = x days.
So, B takes time = 3x days
Now, 3x - x = 60 days
X = 30
3x = 90
1/30 + 1/90 = 1/20 (working together in 1 day).
So, They can do the whole work in 20 days.
So, B takes time = 3x days
Now, 3x - x = 60 days
X = 30
3x = 90
1/30 + 1/90 = 1/20 (working together in 1 day).
So, They can do the whole work in 20 days.
(84)
Harsha said:
2 years ago
A takes x-60 days.
B takes x days.
If A does work in 1 day then B takes 3 days.
So,
1/(x-60) = 1/x
Solving this we get x = 90
Now, A+B can do work in 1/90 + 3/90.
We get 45/2.
B takes x days.
If A does work in 1 day then B takes 3 days.
So,
1/(x-60) = 1/x
Solving this we get x = 90
Now, A+B can do work in 1/90 + 3/90.
We get 45/2.
(49)
M ahmad said:
1 decade ago
A can do the job in x days.
B can same job in 3x days.
3x=x+60 by B.
x=30.
One day work by A and B = 1/30+1/90 = 4/90 = 2/45.
Whole job done by A and B = 45/2 = 22.5 days.
B can same job in 3x days.
3x=x+60 by B.
x=30.
One day work by A and B = 1/30+1/90 = 4/90 = 2/45.
Whole job done by A and B = 45/2 = 22.5 days.
Sahil Husain said:
8 years ago
A=3B ----------(1)
A-60=B----------(2) from equation 1 & 2
3B-60 = B
B=30 and A = 90
(A+B)'S 1 day work =1\90+1\30 = 2\45,
So (A+B)'s work = 45\2 = 22 1\2.
A-60=B----------(2) from equation 1 & 2
3B-60 = B
B=30 and A = 90
(A+B)'S 1 day work =1\90+1\30 = 2\45,
So (A+B)'s work = 45\2 = 22 1\2.
Aya adel said:
2 years ago
a : b
1 : 3.
And x-60:x
Then 3(x - 60) = x.
3x-180 = x,
2x = 180,
x = 90.
a = 90 - 60 = 30
b = 90
1\a + 1\b = 1\30 + 1\90 = 2\45.
a + b = 45\2.
So, the answer is 22 1\2.
1 : 3.
And x-60:x
Then 3(x - 60) = x.
3x-180 = x,
2x = 180,
x = 90.
a = 90 - 60 = 30
b = 90
1\a + 1\b = 1\30 + 1\90 = 2\45.
a + b = 45\2.
So, the answer is 22 1\2.
(57)
HARINI said:
3 years ago
Given;
A = 3B;
A = B - 60.
Substitute A = 3B in 2nd equation(a=b-60).
3B = B-60
B = 30.
Therefore; A = 3B = 90.
A+B = (1/30 + 1/90) = 2/45.
So, the answer is 22(1/2).
A = 3B;
A = B - 60.
Substitute A = 3B in 2nd equation(a=b-60).
3B = B-60
B = 30.
Therefore; A = 3B = 90.
A+B = (1/30 + 1/90) = 2/45.
So, the answer is 22(1/2).
(24)
Tiya said:
8 years ago
Please solve this question.
If the ratio of work efficiency of A and B is 3:2. If A and B together finish a work in 5 days in how much days B alone complete the work?
If the ratio of work efficiency of A and B is 3:2. If A and B together finish a work in 5 days in how much days B alone complete the work?
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
Ranjana shree said:
4 years ago
We can simplify it.
Assume if B worked for 90 days and;
C worked for 30 days.
B's 1-day work = 1/90.
A's 1-day work = 1/30.
A + B = 4/90 work.
ie, 90/4 = 22.5.
Assume if B worked for 90 days and;
C worked for 30 days.
B's 1-day work = 1/90.
A's 1-day work = 1/30.
A + B = 4/90 work.
ie, 90/4 = 22.5.
Sugumaran said:
1 decade ago
Ratio of time taken=1:3
A finish the work in 60 days and B in x days.
1:3::60:x
x=180 days
So,
A and B 1'days work 1/60+1/180=45 days
Is it correct or not?
A finish the work in 60 days and B in x days.
1:3::60:x
x=180 days
So,
A and B 1'days work 1/60+1/180=45 days
Is it correct or not?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers