A cheetah spots a gazelle 300 m away and sprints towards it at 100 km/h. At the same time, the gazelle runs away from the cheetah at 80 km/h. How many seconds does it take for the cheetah to catch the gazelle?

• as speed of gazelle = 80km/h = 200/9 m/sec
  speed of cheetah= 100km/h = 250/9 m/sec
  let time take by cheetah be time t to catch gazelle
  here in time same time let the distance covered by gaxelle in time t is x
  therefore the cheetah have to cover 300+x distance
  as time are equal
  therefore
  x/(200/9)=(300+x)/(250/9)
  hence we get x= 1200 m
  now the distance for cheetah is 300+1200=1500m
  1500/(250/9)=54sec
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