SOLUTION: Gail and Dusty Storm went cycling on their own from the same place at 1:15 pm. Gail storm travelled north at 24 km/h while Dust Storm travelled east at 32 km/h. determine the time

Question 1187353: Gail and Dusty Storm went cycling on their own from the same place at 1:15 pm. Gail storm travelled north at 24 km/h while Dust Storm travelled east at 32 km/h. determine the time when gail and dusty will be 130 apart and how far each of them ave travelled.advance math problem

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If you draw this, Gail's vector is north at 24 x and Dust's is east at 32 x. The hypotenuse of the triangle with the origin and each of their distances is the sqrt root of the sum of their squared speed.I'm assuming the 130 is 130 km.
But a 24-32 leg triangle has a hypotenuse of 40, 8 times a 3-4-5.
130/40 is 3.25 so each leg is 24*3.25 or 78 km for Gail and 32*3.25 or 104 km for Dust.
This is 3.25 hours after they started or 4:30 pm.
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