SOLUTION: Two bikers started at the same corner, one going east, the other going North. One biker is traveling at 3km/h faster than the other. After one hour, the two bikers are 15 kilometre

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Question 996783: Two bikers started at the same corner, one going east, the other going North. One biker is traveling at 3km/h faster than the other. After one hour, the two bikers are 15 kilometres apart. Find the rate of each.
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speeds of bikers be s and (s+3) km/hr respectively.
So distances covered by them in 1 hr are s*1 and (s+3)*1 kms respectively.
Since their directions are north and east,
a right triangle is formed between their final positions and the origin,
Now the distance between them is 15 kms,
So,
s%5E2+%2B+%28s%2B3%29%5E2+=+15%5E2
=> s%5E2+%2B+3s+-+108+=+0
=> %28s%2B12%29%2A%28s-9%29+=+0
=> s = 9 (since s can not be -12)
SO required speeds are 9 km/hr and 12 km/hr