8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in :
a. 10 days
b. 12 days
c. 15 days
d. 16 days

• 1 man = 3/2 boys, So (4 men + 9 boys )=15 boys
  Also, 8 men = (3/2)×8 i.e. 12 boys
  Now, 12 boys can dig the pit in 20 days.
  15 boys can dig it in = (20×12)/15=16 days.
• 11 years agoHelpfull: Yes(60) No(21)
• here your concern should be on the word AGAIN in "half as much AGAIN as a boy"
  i.e. 1 Man = B/2 + B { i.e. what "AGAIN" is stressing here }
  and rest is understandable
  1 man = 3/2 boys, So (4 men + 9 boys )=15 boys
  Also, 8 men = (3/2)×8 i.e. 12 boys
  Now, 12 boys can dig the pit in 20 days.
  15 boys can dig it in = (20×12)/15=16 days.
• 11 years agoHelpfull: Yes(39) No(4)
• i think the options are incorrect because it is written that a boy work double than a man means if there were 8 boys they can dig the pit in 10 days ,now there are 9 boys and 4 men also,means it would take even less than 10..which is not in the option.
  I solved it and the ans is 7.27 days.
  8 men do work in 1 day=1/20 work
  1 men in 1 day=1/160 work
  1 boy in 1 day=1/80 work
  therefore 4 men and 9 boys in 1 day=4/160+9/80 work=22/160
  therefore work will be completed in 160/22 days=7.27 days
  
• 11 years agoHelpfull: Yes(35) No(12)
• as it is given a man works half as much again as a boy so
  1 man work = 3/2 boy work
  so,9 boys work = 6 men work
  therefore total no. of men equivalent=4+6=10men
  since 8 men do a wok in 20 days
  1 man will do the same in 20*8=160 days
  so,10 men will do the same in 160/10 =16 days
  
• 11 years agoHelpfull: Yes(19) No(5)
• d.16 days....because they are all disco dancers and they can do it .Jai ho himesh reshmiya ki
• 11 years agoHelpfull: Yes(8) No(9)
• Explain me how 1 men =3/2 boys
• 8 years agoHelpfull: Yes(6) No(0)
• @annu kumari
  because 1 man=3/2 boys
  so,4 men=4*3/2=6 boys
  (4 men+9 boys)=(6 boys+9 boys)=15 boys
• 11 years agoHelpfull: Yes(5) No(3)
• @abhishek kumar how come 4+9=15?????
• 11 years agoHelpfull: Yes(4) No(3)
• 16 days !!!
• 11 years agoHelpfull: Yes(2) No(3)
• 4*3/2*1/160 + 9/160 d)16 ddays
• 11 years agoHelpfull: Yes(1) No(5)
• @avishek can u explain 1man=3/2 boys
• 11 years agoHelpfull: Yes(1) No(1)
• TOTAL WORK=8*120=160
  2Men = 3Boys
  4men+6men=10men
  160/16=16
• 6 years agoHelpfull: Yes(1) No(0)
• 20*22/8=55 days
  
  
• 11 years agoHelpfull: Yes(0) No(7)
• @ashu
  
  work=time*capacity
  
  work done=8men*20days
  a man=3/2
  a boy=2/3
  9 boys=(2/3)*9
  9 boys=6 men
  
  4 men + 9 boys= 4 men+6men
  total =10 men
  
  above equations work=time*capacity
  8*20=days*10men
  then, days= 8*20/10
  days=16
• 4 years agoHelpfull: Yes(0) No(0)