The train travel 20 kilometers in the southward direction to reach its original location.
Step-by-step explanation:
The given is,
First train travels east for 50 kilometers, then
Turns north and travels for 22 kilometers
It goes west for 50 kilometers
Step:1
Let, A - Distance of train travels from its starting point in Eastern direction at pq point
B - Distance train travels in northward direction at qr point
C - Distance of train travels in western direction at rs point
D - Distance of train travels in southward direction to reach its starting location at sp point
Step:2
Refer the attachment,
Distance of travel in northward direction and distance of travel in southward direction are equal.
qr = sp.............. (1) ( ∵ Eqn (1) from the Diagram)
20 km = 20 km
sp = 20 km
Result:
So, the distance of train travel to reach its original location in southward direction is 20 km.