Two cars start moving from the same point. one travels south at 100km/hour, the other west at 50 km/hour. how far apart are they two hours later?

223.61 km

Explanation:

Speed of car traveling south = 100 km/h

Speed of car traveling west = 50 km/h

Time each car travels = 2 hours

Distance = Speed×Time

Distance covered by car traveling south = 100×2 = 200 km

Distance covered by car traveling west = 50×2 = 100 km

Consider the distance covered by car traveling south as the base of a triangle and the distance covered by car traveling west as the height of a triangle

Distance between them after 2 hours would be the hypotenuse of the triangle

Pythagoras theorem

Hypotenuse = √(Base²+Height²)

⇒Hypotenuse = √(200²+100²)

⇒Hypotenuse = 223.61 km

So, they are 223.61 km apart two hours later.