Q. T, U, V are 3 friends digging groups in fields. If T & U can complete i groove in 4 days &, U & V can complete 1 groove in 3 days & V & T can complete in 2 days. Find how many days each takes to complete 1 groove individually

• t+u=1/4, u+v=1/3, v+t=1/2
  so 2(t+u+v)=1/4+1/3+1/2=3+4+6/12=13/12.
  so (t+u+v)= 13/24.
  so t = 13/24-1/3 = 13-8/24= 5/24.,
  So T takes 24/5 days to complete the work
  Similarly, u takes 24 days and v takes 24/7 days...
• 10 years agoHelpfull: Yes(39) No(2)
• T take 24/5 days, U take 24 days and V take 24/7 days...
• 10 years agoHelpfull: Yes(7) No(0)
• I m not sure but according to me each person will take 24 days
  Because (u+T)/4=(v+u)/3=(v+t)/2 LCM is 24
• 10 years agoHelpfull: Yes(4) No(2)
• T + U + V= 13/24
  SO , V= 13/24 - 1/4
  V= 24/7 DAYS
  SIMILARLY,
  U= 24 DAYS AND T= 24/5 DAYS
• 10 years agoHelpfull: Yes(2) No(0)
• tu uv vt
  3 4 2
  
  lcm(3,4,2)=12
  
  12/3 12/4 12/2
  4 3 6
  u=12/(3+4-6)=12 days
  v=12/(-3+4+6)=12/7 days
  t=12/(3-4+6)=12/5 days
• 9 years agoHelpfull: Yes(0) No(0)