Mr. X has to build a wall 1000 metres long in 50 days. He employs 56 men but at the end of 27 days finds that only 448 metres are built. How many more men must be employed so that the work may be finished in time?

• 448 in 27
  552 in 23
  Men = 448/552 * 23/27 * 56 = 81
  Add men = 81-56 = 25.
• 10 years agoHelpfull: Yes(36) No(8)
• (men*days*hours)/workdone =(men*days*hours)/workdone
  (56*27)/448=(x*23)/552
  x=81
  81-56=25
• 9 years agoHelpfull: Yes(18) No(1)
• 25 Men
  
  Work done in 27 days=448/1000 =56/125 ,Remaining work=1-(56/125)=69/125
  As 56/125 work is done by 56 men in 27 days, so
  56 men's 1 day work=56/(125*27) &
  1 man's 1 day work= 56/(125*27*56) =1/(125*27)
  Now in remaining 50-27= 23 days, work to be completed=69/125
  which will be done by 56 men for 23 days & additional 'x' men for 23 days
  56 men's 23 days work=(56*23)/(125*27) &
  'x' men's 23 days work=23x/(125*27)
  [(56*23)/(125*27)]+[23x/(125*27)]=69/125
  [(56*23)+(23x)]/27 =69
  1288+23x=1863 ,x=25
• 10 years agoHelpfull: Yes(13) No(3)
• at a time,
  men proportional to (1/day) and work
  so (men*day/work)=constant
  by applying this divide problem in two parts
  one for 56men 27days 448m work
  other part (56+x)men 23days 552m work
  and ans is 25
  thank you!
  
• 10 years agoHelpfull: Yes(12) No(0)
• 25 Men
  
  Work done in 27 days=448/1000 =56/125 ,Remaining work=1-(56/125)=69/125
  As 56/125 work is done by 56 men in 27 days, so
  56 men's 1 day work=56/(125*27) &
  1 man's 1 day work= 56/(125*27*56) =1/(125*27)
  Now in remaining 50-27= 23 days, work to be completed=69/125
  which will be done by 56 men for 23 days & additional 'x' men for 23 days
  56 men's 23 days work=(56*23)/(125*27) &
  'x' men's 23 days work=23x/(125*27)
  [(56*23)/(125*27)]+[23x/(125*27)]=69/125
  [(56*23)+(23x)]/27 =69
  1288+23x=1863 ,x=25
• 10 years agoHelpfull: Yes(4) No(0)
• 27 DAYS 448 METER 56 MENS
  1 MAN BUILS 8METERS IN 27 DAYS
  1 MAN BUILS IN 23 DAYS (8/27)*23=6.81 METERS
  56 MEN 381.62 METERS
  REMAINING =552-381.62=170.37
  MORE MEN =170.37/6.81=
  25MEN
• 9 years agoHelpfull: Yes(2) No(0)
• 56 men builds 448 meters in 27 days
  
  Let N men builds remaining 552 meters in remaining 23 days
  
  (people*days)/work=(people*days)/work
  
  (56*27)/448 = (People*23)/552
  27/8 = people/24
  people=81
  
  Extra men required = 81 - 56 = 25
• 7 years agoHelpfull: Yes(2) No(0)
• 25
  additionally 25 members are required to complete the work in time.
• 10 years agoHelpfull: Yes(0) No(1)