A traveler walks a certain distance. Had he gone half a kilometer an hour faster , he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance?

• Ans:15km
  solution:
  speed(s)*time(t)=distance(d)
  walked 1/2km with time 4/5
  (s+0.5)((4/5)t)=d --->(1)
  1/2km an hour slow, walked 2and half hr long
  (s-0.5)(t+2.5)=d ----->(2)
  solving (1) & (2)
  we get s=2
  t=7.5
  d=2*7.5=15km
• 12 years agoHelpfull: Yes(3) No(2)
• t - time
  d - distance
  s - speed
  
  d/t=s
  d/(4/5)t=s+1/2
  d/(t+(5/2))=s-(1/2)
  
  solve it....
  u'll get
  d=15...
• 10 years agoHelpfull: Yes(1) No(1)
• Distance = speed x time
  ST = (s + .5) x .8t ------------------- 1
  ST=.8st +.4t, 2st=.4t, s= 2KM
  ST= (s - .5) x (t+150) ------------------ 2
  Substituting you will get the distance as 15 KMs
• 7 years agoHelpfull: Yes(1) No(1)