Two Friends A and B Start Walking from a Common point. A goes 20 kms towards north-east, whereas B goes 15 kms towards east and then 12 kms towards north. How far are A and B from each other.

A travels 20 kilometres to the north-east.

B travels 15 kilometres east and afterwards 12 kilometres north.

To detect:

The gap between A as well as B

Solution:

We can observe from the information that overall distance reached by A equals the movement of B from that beginning location.

A travels 20 kilometres to the north-east.

That is, in any diagonal line A goes for 20 kilometres.

This seems to be nothing more than A displacement.

B, on the other hand, travels 15 kilometres east and afterwards 12 kilometres north.

For example, B travels 15 kilometres in a perfect line towards the right, immediately turns 900 degrees north and travels 12 kilometres.

As a result, the movement for B would be 20 kilometres along that North East Direction = Distance walked by A = Displacement for A from the beginning location.

As a result, they both end at the same spot.