# SOLUTION: A pony is 40 jumps ahead of the horse, and takes 3 jumps while the horse takes 2 ,but 2 of the horse's jumps equal 4 of the pony's; in how many jumps while the horse catch up to th

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 Question 204113: A pony is 40 jumps ahead of the horse, and takes 3 jumps while the horse takes 2 ,but 2 of the horse's jumps equal 4 of the pony's; in how many jumps while the horse catch up to the pony?Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!Key is the distance for each jump. Horse @2 =Pony@4, or horse jumps twice as far. . therefore horse jumps 2 times @ twice as far = 4 vs Pony 3 times @1 =4 . In summary, horse covers a distance of 4, while pony covers 3. . Pony is 40 jumps ahead . 4n = 40 +3n . n=40,,,number of jumps to be even .