A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day are reduced in the ratio 5:4?

a)29.75 days
b)28.33 days
c)30.33 days
d)35.25 days

• ans : 28.33 days
  for 17 men they takes 5/9 hour a day
  for 18 mens they takes 4/9hour a day
  so the total days taken by 18 mens be x , now......
  17*24*5/9 = 18*x*4/9
  x = 28.33 days
• 7 years agoHelpfull: Yes(1) No(0)
• ans:28.33 days
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• formula is : P1*H1*D1 = P2*H2*D2
  P1 = 17 men ; D1 = 24 ; H1 = 5
  P2 = 18 men; D2 = x ; H2 = 4
  It will then
  17*24*5 = 18*x*4
  then it answer would be : 28 1/3 or 28.333
• 2 years agoHelpfull: Yes(0) No(0)
• Initial Scenario (17 men working for 24 days): In the original situation, 17 men can complete the work in 24 days. This means the total amount of work can be calculated as:
  
  Work
  =
  17
  ×
  24
   man-days
  .
  Work=17×24 man-days.
  The total work in terms of man-days is:
  
  Work
  =
  408
   man-days
  .
  Work=408 man-days.
  New Scenario (18 men, reduced hours per day): In the new scenario, we have 18 men working, but the number of hours per day is reduced in the ratio 5:4. This means that if, initially, they worked for
  ℎ
  h hours per day, now they work for
  4
  5
  ℎ
  5
  4
  ​
  h hours per day.
  
  The amount of work done in a day by 18 men working for
  4
  5
  5
  4
  ​
  of the original hours can be compared to the original situation.
  
  The total amount of work done by 18 men working
  4
  5
  5
  4
  ​
  of the original hours per day is reduced by the factor
  4
  5
  5
  4
  ​
  . Therefore, the effective work rate in terms of man-hours per day is:
  
  Effective work rate
  =
  18
  ×
  4
  5
  =
  14.4
   man-days per day
  .
  Effective work rate=18×
  5
  4
  ​
  =14.4 man-days per day.
  Time Required for 18 Men to Complete the Work: Since the total amount of work is 408 man-days and the work rate is 14.4 man-days per day, the time required to complete the work is:
  
  Time
  =
  408
   man-days
  14.4
   man-days per day
  .
  Time=
  14.4 man-days per day
  408 man-days
  ​
  .
  Simplifying:
  
  Time
  =
  408
  14.4
  =
  28.33
   days
  .
  Time=
  14.4
  408
  ​
  =28.33 days.
  Final Answer:
  It will take approximately
  28.33
  28.33
  ​
  days (or about 28 days and 1/3 of a day) for 18 men to complete the work when the hours per day are reduced in the ratio 5:4.
• 14 Days agoHelpfull: Yes(0) No(0)