A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
14 km
15 km
16 km
17 km

• If F is distance travelled by foot, then
  
  F/4 +(61-F)/9 =9
  
  solving it, we get
  F= 16 kms.
  
  check 16/ 4 +45/9 = 4+5=9 hrs
• 13 years agoHelpfull: Yes(21) No(1)
• foot bicycle
  x 61-x
  
  (x/4)+((61-x)/9)=9
  (9x+61*4-4x)/36=9
  5x+244=9*36
  5x=324-244
  x=16km
  The distance travelled on foot is 16km
  
• 10 years agoHelpfull: Yes(2) No(0)
• let ,the distance travelled by foot = x
  then distance travelled by bicycle = 61-x
  
  total time taken in hole jerney = time taken by foot + time taken by bicycle
  
  9 = x/4 + (61-x)/9
  
  x=16
  so, distance travelled by foot= 16 km
• 10 years agoHelpfull: Yes(2) No(0)
• suppose distance traveled by foot is x. So dist. traveled by bicycle is 61-x
  x/4+(61-x)/9=9
  after solving we get 5x=80
  so x=16
  
• 11 years agoHelpfull: Yes(1) No(0)
• let distance covered by foot = x kms
  covered by bicycle = (61-x)km
  so take addition of both times and equals to 9 kms
  so
  x/4 + (61-x)/9 = 9 hrs
  after calculation x will be 16 kms
• 10 years agoHelpfull: Yes(1) No(0)
• 4x + (9-x)9 = 61
  4x + 81 - 9x = 61
  5x=20
  x=4
  on foot at 4km/hr for 4 hrs he travels 16 kms
• 10 years agoHelpfull: Yes(1) No(0)
• Going with hit & trial method, if we take 16km as correct
  foot=4km/hr=16km/4hr
  remaining 5hrs in bicycle =9km/hr=45km/5hr
  hence 45+16=61 km which fits in the question
• 10 years agoHelpfull: Yes(1) No(1)
• assum
  travlied time foot=x hours, travlied time bicycle=y
  total distance:4x+9y
  total time :x+y=9
  solve this equation x=4,y=5
  distanc travlled on foot= 4*4=16
• 10 years agoHelpfull: Yes(1) No(0)
• x/4+(61-x)/9=9
  x=16
• 9 years agoHelpfull: Yes(1) No(0)
• let the distance by foot be x and distance through bicycle be (61-x)
  so t = d1/v1+d2/v2
  hence, 9= x/4+61-x/9
  x = 16km
• 7 years agoHelpfull: Yes(1) No(0)
• in this question time is indirectly given ie 4.5 hrs (partly)
  v= 4kmph
  v=d/t
  d=18km
  if it is right pls give response bcos im also in confusion
• 12 years agoHelpfull: Yes(0) No(8)
• 4x+ 9(9-x) = 61
  81-5x = 61
  x =4
  
• 10 years agoHelpfull: Yes(0) No(1)
• given ,61km in 9 hrs
  we know time = distance/speed,
  so x/4-(61-x)/9=9
  by solving we get x=14km
• 10 years agoHelpfull: Yes(0) No(2)