Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 25)
25.
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
Answer: Option
Explanation:
(20 x 16) women can complete the work in 1 day.
 1 woman's 1 day's work = |
1 | . |
| 320 |
(16 x 15) men can complete the work in 1 day.
| 1 man's 1 day's work = |
1 |
| 240 |
| So, required ratio |
|
||||||
|
|||||||
| = 4 : 3 (cross multiplied) |
Discussion:
59 comments Page 4 of 6.
Ranan said:
1 decade ago
m1*d1*h1 = m2*d2*h2
So, 16*15*h1 = 16*20*h2.
h1:h2 = 4:3.
So, 16*15*h1 = 16*20*h2.
h1:h2 = 4:3.
Pari said:
1 decade ago
20 women = 1/16 work.
Therefore 1 woman = 1/16*20 please do not multiply and waste time.
16 men = 1/15 work.
Therefore 1 man = 1/15*16.
Man : woman = 1/15*16/1/16*20 = 16*20/15*16.
Answer : 4/3.
Therefore 1 woman = 1/16*20 please do not multiply and waste time.
16 men = 1/15 work.
Therefore 1 man = 1/15*16.
Man : woman = 1/15*16/1/16*20 = 16*20/15*16.
Answer : 4/3.
Rohini said:
1 decade ago
Given,
20 women = 1/16 ,16 men = 1/15.
Women = 1/16*20 = 1/320.
Men = 1/15*16 = 1/240.
Man:women = 1/240 :1/320.
= 1/3 : 1/4.
= 4:3 (since 1/3/1/4 =1/3 * 4/1 = 4/3 =4:3).
20 women = 1/16 ,16 men = 1/15.
Women = 1/16*20 = 1/320.
Men = 1/15*16 = 1/240.
Man:women = 1/240 :1/320.
= 1/3 : 1/4.
= 4:3 (since 1/3/1/4 =1/3 * 4/1 = 4/3 =4:3).
Prabhat said:
1 decade ago
Please make clear how comes ratio 4:3 instead 3:4 as asked men and women ratio i.e. 240:320. In my opinion it would be 3:4. Is it so or not?
Chetan dharni said:
1 decade ago
w1*d1: m1*d2
20*16:16*15
20:15
4:3
20*16:16*15
20:15
4:3
Raj said:
1 decade ago
Its very simple. See that:
20*16 = 320. work done by women.
16*15 = 240. work done by men.
Ratio = 320/240 = 4/3. Answer.
20*16 = 320. work done by women.
16*15 = 240. work done by men.
Ratio = 320/240 = 4/3. Answer.
Pratheep said:
1 decade ago
20 : 16 = 16 : 15.
5 : 4 = 4 : 3.
16/15 = 4/3.
Therefore 4:3
5 : 4 = 4 : 3.
16/15 = 4/3.
Therefore 4:3
Vinod Anand said:
1 decade ago
If 1 W = 1/320 (1 W = 1/20*16 and 1M = 1/16*15 ).
1 M = 1/240.
Than the Ratio is = 320 : 240.
= 4:3 Answer. Option (B).
1 M = 1/240.
Than the Ratio is = 320 : 240.
= 4:3 Answer. Option (B).
Haseeb said:
1 decade ago
Take it very simple.
Apply the basic rule of ratio:
A:B=1/240:1/320.
Now (1/240)/(1/320).
By solving:
(1/240)*(320/1)
=320/240
=4/3 i.e. 4:3.
Apply the basic rule of ratio:
A:B=1/240:1/320.
Now (1/240)/(1/320).
By solving:
(1/240)*(320/1)
=320/240
=4/3 i.e. 4:3.
Gurpreet singh said:
1 decade ago
Very simple
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3
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