Worker W produces n units in 5 hours. Workers V and W work independently but at the same time, produce n units in 2 hours. How long would it take V alone to produce n units?

• w's 1 hours production=n/5
  (w+v)'s 1 hours production=n/2
  v's 1 hours production
  n/5+V=n/2
  v's 1 hours production=n/2-n/5
  =3n/10
  n/(10/3)
  ans=10/3 hours
  
• 14 years agoHelpfull: Yes(36) No(2)
• (1/(n/2-n/5))*n=10/3 hours
• 14 years agoHelpfull: Yes(6) No(2)
• We have W producing n units in 5 hours.
  
  Hence, number of units produced by W in 2 hours = 2n/5
  
  Workers V and W produce n units in 2 hours.
  
  Hence number of units produced by V alone in 2 hours = n – 2n/5
  
  = 3n/5
  
  Since number of units produced by V in 2 hours = 3n/5
  
  Hence number of units produced by V in 2 hours = 3n/5 × ½ = 3n/10
  
  Hence, time taken by V to produce V units = 10/3 hours
  
  = 3 hours 20 min.
• 7 years agoHelpfull: Yes(0) No(0)