Question

a bee flies 25m north of the hive, then 10m east, 5m west and 10m south. how far north and east of the hive is it now?

Answer 1

Answer: 15m North and 5m East

Explanation: The bee first flies 25m northwards from the hive, and then from that point, flies 10m eastwards after which he flies westwards by 5m. This equates to it flying just 5m east (since 10m east — 5m west = 5m east).

Therefore the bee is just 5m east to the position of the hive.

From this point, it flies back down for 10m (southwards). This means of the 25m covered to the north of the hive, it has taken off 10m from it (25m north — 10m south = 15m north)

Therefore the bee is just 15m north of the location of the hive.

To pinpoint its location at this point in time, we would say the bee is located 5m to the East and 15m to the North of the hive.

Answer 2

(25m north) + (10m south) = 15m north

(10m east) + (5m west) = 5m east

So the bee is now 15m north and 5m east of the hive.