# distance 2

#### euclid2

a train leaves the station at 10.pm and travels due north at a speed of 100km/h. another train has been heading due west at 120 km/h and reaches the same station at 11.pm at what time were the trains closest together?

#### skeeter

MHF Helper
a train leaves the station at 10.pm and travels due north at a speed of 100km/h. another train has been heading due west at 120 km/h and reaches the same station at 11.pm at what time were the trains closest together?
let the station be at the origin, t = 0 at 10pm

due north train position (x,y) as a function of time ... (0,100t)

due west train position (x,y) as a function of time ... (120-120t,0)

same set up as your previous distance problem.

• euclid2

#### euclid2

let the station be at the origin, t = 0 at 10pm

due north train position (x,y) as a function of time ... (0,100t)

due west train position (x,y) as a function of time ... (120-120t,0)

same set up as your previous distance problem.
i don't really know how to finish the problem

#### skeeter

MHF Helper
i don't really know how to finish the problem
what is the distance formula between two points on the x-y plane?

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