Ramu went 15 km. To the west from his house, then he turned left and walked 20 km. He then turned east and walked 25 km. And finally turning left covered 20 km. How far is he from his house
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Given distances and their directions in chronological order:
15 km towards West of house
20 km towards left
25 km to the east
20 km towards left
To find:
Ramu's distance from his house
Solution:
In the figure:
- N, E, W, S represent the directions North, East, West, South respectively.
- A represents the location of house
- B, C, D, F, G represent the final position after each distance travelled.
Distances:
AB = 15 km
BC = 20 km
CF = 15 km
FG = 20 km
Thus, for finding the distance from house, we need to find the distance AG, or DF.
DF = CF - CD
=> DF = CF - AB
=> DF = 25 - 15 = 10 km
Thus, answer is 10 km.
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