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?

A. 3 : 4
B. 4 : 3
C. 5 : 3
D. Data inadequate

• A. 3 : 4
  
  
  1 woman's one day work = 1/(16*20)
  1 man's one day work = 1/(16*15)
  
  ratio between the capacity of a man and a woman = 1/(16*20) : 1/(16*15)
  or
  1/20 : 1/15
  or
  15:20
  or
  3:4
• 12 years agoHelpfull: Yes(16) No(11)
• B. 4:3....
• 12 years agoHelpfull: Yes(16) No(2)
• 1 women's 1 day work= 1/(16*20)
  1 man's 1 day work = 1/(16*15)
  ratio of efficiency of a man and a woman = 1/(16*15)/1/(16*20)
  = 4/3
  so ANS = B)4:3
• 11 years agoHelpfull: Yes(10) No(0)
• A. 3:4
  LET CAPACITY W1 AND W2
  Simple formula M1*D1*W1=M2*D2*W2
  20*16*W1=16*15*W2
  W1/W2=3/4
• 12 years agoHelpfull: Yes(4) No(4)
• Easy Method:
  
  20W*16D=16M*15D
  (ie)
  20*16=16*15
  Cut it, we get 4:3. This is for Women:Men.
  They ask Men:Women. so 3:4.
• 12 years agoHelpfull: Yes(3) No(2)
• answer is A) 3:4
  
  16/20 * 15/16
• 12 years agoHelpfull: Yes(2) No(2)
• if 'n' man can do a work in 'm' days then one man can do it in =m*n days
  
  {example:
  5 man can do a work in 10 days then one man can do it in(5*10) 50days}
  where a number of man decreases then number of days take to do a work will be increased.
  
  coming to this problem :
  -----------------------
  20 women can do a work in 16 days
  so one women can do it in =20*16 = 320days
  1 women = 320 days
  
  16 man can do a work in 15 days
  so one man can do it in =16*15= 240days
  
  1 man =240days
  
  ratio between men and women
  240 :320
  simplify it we get
  
  3:4
  this is the answer
• 11 years agoHelpfull: Yes(1) No(1)
• 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
  = 1 : 1
  240 320
  = 1 : 1
  3 4
  = 4 : 3
• 8 years agoHelpfull: Yes(0) No(0)
• (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
  = 1 : 1
  240 320
  = 1 : 1
  3 4
  = 4 : 3 (cross multiplied)
  
• 8 years agoHelpfull: Yes(0) No(0)
• 16 * 15 man-day = 20 * 16 women-day
  1 man-day = 320/240 women-day
  man-day = 4/3 women-day
  so... 4:3 is the ans.
• 7 years agoHelpfull: Yes(0) No(0)
• 4:3
  because the question is the ratio for man and women
• 5 years agoHelpfull: Yes(0) No(0)