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Question

Two friends “a” and “b” start walking from a common point. A goes 20km towards the northeast, whereas “b” goes 15km towards the east and then 12km towards the north. How far are “a” and “b” from each other?


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Solution

Step 1: Given data

a and b start walking from a common point.

a goes 20km towards the northeast.

b goes 16km towards the east and then 12km towards the north.

Step 2: To find

We have to find the distance between a and b.

Step 3: Calculation

By using the given information, we get

By using the Pythagoras theorem,

Displacementofb=(16)2+(12)2=256+144=400=20km

Now, a and b will meet again at the end of their voyage, and the distance between them will be:

=20-20=0km

Therefore, the distance between a and b is 0km.


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