Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 17)
17.
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
Answer: Option
Explanation:
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x  x = |
 |
23 x 13 |  |
x = |
299 | . |
| 10 | 10 |
| A's 1 day's work = | 1 | ; |
| 23 |
| B's 1 day's work = | 10 | . |
| 299 |
| (A + B)'s 1 day's work = | |
1 | + | 10 | |
= | 23 | = | 1 | . |
| 23 | 299 | 299 | 13 |
Therefore, A and B together can complete the work in 13 days.
Discussion:
121 comments Page 8 of 13.
AMAN said:
7 years ago
The answer is approx 13 days.
As B would do the work in 230/7 days.
B's one day work would be 7/230.
a+b = x{1/23+7/230}=1.
x = apprx 13 days.
As B would do the work in 230/7 days.
B's one day work would be 7/230.
a+b = x{1/23+7/230}=1.
x = apprx 13 days.
Arunkumar said:
9 years ago
A=30% more efficient than B.
Assume B = 1 so A = 1.3(one day work) So 23*1.3 = 29.9(total work).
a+b = 1+1.3 = 2.3.
==> 29.9/2.3 = 13 days.
Assume B = 1 so A = 1.3(one day work) So 23*1.3 = 29.9(total work).
a+b = 1+1.3 = 2.3.
==> 29.9/2.3 = 13 days.
Chethan said:
1 decade ago
A s 30% more eff...
i.e
A -> x(1+30/100) = 1/23
=> x(13/10) = 1/23
therefore
B -> x =10/299
add A+B u ll get 1/13
hence ans is 13
i.e
A -> x(1+30/100) = 1/23
=> x(13/10) = 1/23
therefore
B -> x =10/299
add A+B u ll get 1/13
hence ans is 13
Pranay Gujar said:
9 years ago
As A is 30% efficient then B.
A = 13 work per day.
B = 10 work per day.
Total Work= 13 * 23 = 299.
No of days by (A & B) = 299/23 = 13.
A = 13 work per day.
B = 10 work per day.
Total Work= 13 * 23 = 299.
No of days by (A & B) = 299/23 = 13.
(1)
Arpitha said:
6 years ago
@Chandradeepa.
Because it was given in the question that A is 30% more efficient than B.
So, we must consider A as 130% & B as 100%.
Because it was given in the question that A is 30% more efficient than B.
So, we must consider A as 130% & B as 100%.
(7)
Ramesh Naidu said:
1 decade ago
Why can't we take 70% of 23 days? Then we get B's working days right?
But I'm not getting the same result why? Can you explain any one?
But I'm not getting the same result why? Can you explain any one?
Ved Prakash Singh said:
9 years ago
B can Complete the work in:
(A's)70 days means (B's)100 days.
(A's)23 days means (B's)100/70*23,
so, x/23+70x/100*23=1.
x=13days ans.
(A's)70 days means (B's)100 days.
(A's)23 days means (B's)100/70*23,
so, x/23+70x/100*23=1.
x=13days ans.
Chiroo said:
1 decade ago
A is 30% more efficient!!
So ratio will be 130:100 :: 23:x.
So x = 230/13
Final answer comes to 10.
Can someone plz confirm this?
So ratio will be 130:100 :: 23:x.
So x = 230/13
Final answer comes to 10.
Can someone plz confirm this?
Barsa rani behera said:
2 years ago
30% = 30/100.
100 = B.
Efficiency A. 13
B.10.
Total 13 + 10 = 23.
Total. 13 * 23 = 299.
A + B = 13 * 23/23 = 13days.
100 = B.
Efficiency A. 13
B.10.
Total 13 + 10 = 23.
Total. 13 * 23 = 299.
A + B = 13 * 23/23 = 13days.
(8)
Ganesh said:
9 years ago
A is R% more than B, then B is less than A by.
(((R/(100+R)) * 100)%
Based on this formula,
We cant use A = 100% B = 70%.
(((R/(100+R)) * 100)%
Based on this formula,
We cant use A = 100% B = 70%.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers