Question

a train is going on a journey. first it travels east for 50 kilometers. then it turns north and travels for 22 kilometers. next it goes west for 50 kilometers. finally, it travels south for a certain number of kilometers. at the end of its journey it is back at its original location. how many kilometers did it travel in the southward direction?

Explanation:

Step1: Analyze east - west movement

The train travels 50 km east and then 50 km west. The east - west displacement cancels out as \(50 - 50=0\) km.

Step2: Analyze north - south movement

The train travels 22 km north. To return to the original location, the south - ward displacement must be equal to the north - ward displacement. So the train must travel 22 km south.

Answer:

22