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:
119 comments Page 8 of 12.
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:
5 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:
10 years 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:
8 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:
9 months 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.
(5)
Ganesh said:
8 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%.
Pallavi said:
1 decade ago
A person can do 1/6th of the work in 2 days. If he now works 50% faster, in how many days can he finish the remaining work ?
Swati said:
1 decade ago
Let no of days taken by A = x and by B = y.
Then, (y-x)/y = 30/100.
Gives x:y = 7:10.
Not 10:13.
Please help me in this.
Then, (y-x)/y = 30/100.
Gives x:y = 7:10.
Not 10:13.
Please help me in this.
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