Question

a train leaves a station heading east at 50 mph from that same station a car drives north at a speed of 30mph after 3 hours how far apart are the two vehicles?

Answer 1

d = 175 miles

Step-by-step explanation:

Train is moving towards East with constant speed of 50 mph

While car is moving at speed of 30 mph

so after t = 3 hours

the distance moved by the train is given as

`d_1 = vt`

`d_1 = (50)(3) = 150 miles`

at the same time the distance moved by the car is given as

`d_2 = 30(3) = 90 miles`

now we know that both car and train is moving perpendicular to each other

So the distance between them after t = 3 hours is given as

`d= √(d_1^2 + d_2^2)`

`d = √(150^2 + 90^2)`

`d = 175 miles`