Mathematics

A man starts from his home and drives 169 km to the East and then 192 km to the West. How far is he from his home finally and in which direction?

Integers

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Answer

Let East be positive direction so West will be negative direction.

Given:

Distance travelled towards East = 169 km
Distance travelled towards West = -192 km

Total displacement = Distance travelled towards East + Distance travelled towards West

By substituting the values, we get

Total displacement = 169 + (-192)

= 169 - 192 = -23

The negative sign indicates that he is in West direction.

∴ He is 23 km to the West of his home.

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