Question

From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 32 kilometers, and the eastbound train has traveled 24 kilometers. The two trains, measured in a straight line, are ____ kilometers apart.​

Answer 1

40

Explanation:

Remark

This is just an ordinary Pythagorean Problem.

a = 32

b = 24

c = ?

Distance

a^2 + b^2 = c^2

32^2 + 24^2 = c^2

1024 + 576 = c^2

c^2 = 1600

√c^2 = √1600

c = 40

c = 40 The distance the trains are apart is 40 km