Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race. Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race?

• lets jack took 6 steps in i min,
  so dough el take 7 steps in 1min
  anne el take 8 steps in 1 min
  ..
  now time taken by jack to take 21 steps=21/6=3.5 min
  ..................anne.........28......=28/8=3.5 min
  ..................doug.........24......=24/7=3.42 min
  so dough win d race..
  
• 10 years agoHelpfull: Yes(25) No(1)
• jack and ann win the race at a time.
  28/8=3.5
  24/7=3.42
  21/6=3.5
  
  jack = ann ratio so jack and ann will win the race at a time.
• 12 years agoHelpfull: Yes(23) No(13)
• Ann steps = 8,16,24,28 --- finished by 3 & half full steps
  Doug steps=7,14,21,24 --- finished before 3 & half full steps
  Jack steps= 6,12,18,21 --- finished by 3 & half full steps
  So Doug won the race
• 10 years agoHelpfull: Yes(11) No(0)
• assume jack covers 1 meter in 21 steps,
  
  hence ann will cover 28*6/8 which is equal to jack's speed
  
  speed of doug is 24*6/7 which is less than speed of jack
  
  hence both jack and ann will reach at same time (1st place)
• 12 years agoHelpfull: Yes(7) No(7)
• jack and ann win the race at a time.
  28/8=3.5
  24/7=3.42
  21/6=3.5
  
  jack = ann ratio so jack and ann will win the race at a time.
• 12 years agoHelpfull: Yes(3) No(1)
• @moloy pal your soln is good but colclution is wrong doug won the race
• 9 years agoHelpfull: Yes(1) No(0)
• jack won the race.....
• 9 years agoHelpfull: Yes(1) No(0)
• ann will win the race..........
• 12 years agoHelpfull: Yes(0) No(9)
• let total step involve in the path = 100 steps 0f jack
  droug 7 step= 6 jack step
  droug 1 step= 6/7 jack step
  
  droug 24 step time= jack 21 step time
  jack 100 step time= 2400/21 droug step= 2400/21*6/7=97.9
  
  jack 6 steps= anna 8 step
  1 anna step=6/8 jack step
  21 steps jack time= 28 anna
  100 jack= 2800/21*6/8=105
  so anna win the race
• 12 years agoHelpfull: Yes(0) No(4)
• droug win the race as he takes 3.4 min
• 9 years agoHelpfull: Yes(0) No(0)
• doug will win the race because it takes lesser time(24/7) to complete his setps
  
• 8 years agoHelpfull: Yes(0) No(0)
• As simple as that
  since jacks 6 step= doughs 7 step = ann 8 step
  now lets assume all of them complete the above steps in 1 minute
  so jacks 1 step in 1/6minute
  similarly doughs 1 step in 1/7minute
  sinilarly ann 1 step in 1/8 minute
  28/8=3.5
  24/7=3.42
  21/6=3.5
  so dough takes 3.42 minute he wins the race
• 7 years agoHelpfull: Yes(0) No(0)
• jack will cover 21 steps in 3.5step
  Doug will cover 24 steps in 3.42step
  Ann will cover 28 steps in 3.5step
  jack ans
• 7 years agoHelpfull: Yes(0) No(0)
• jack won the race,
  6 7 8
  6 7 8
  6 7 8
  so jack needs only 3 step while doug needs 3.5 and ann needs 4 steps
• 6 years agoHelpfull: Yes(0) No(0)