20. A & B two places. C & D are two people. C started from A and D started from B. When they meet each
other in the way C traveled 18 m more than D. Then C takes 13 and half a minute and D takes 24 minutes to
reach the other end. What was the distance between A & B.

• let d travelled x km, then c travelled 18+x km.
  then c takes 13.5 min to travel 'x' distance and d takes 24 min to travel '18+x'
  so their speeds are x/13.5 & (x+18)/24
  Initially time taken by c & d to travel distances 18+x and x are same.
  t=d/s => (18+x)/(x/13.5) = x/((x+18)/24)
  => (18+x)^2 = 1.777x^2
  On solving the quadratic equation x=54 m
  Distance between them is 2x+18= 2*54+18 = 126 m.
• 13 years agoHelpfull: Yes(65) No(5)
• let D travels x m,so C tarvels x+18 m.
  So dist. b/w A & B is 2*x + 18 m
  so,
  (x + 18)*13.5 = x*24
  x = 23.14m
  So dist b/w A & B = 2*x + 18 = 64.28m
• 13 years agoHelpfull: Yes(6) No(27)