Q190. Dingi runs 40km towards North then turns right and runs 50 km. He turns right and
runs 30km and once again turns right and runs 50km. How far is he from his starting point?
a) 90km
b) 50km
c) 10km
d) 5km
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Answer:
c) 10 km
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Given: Dingi runs 40km towards North, then turns right and runs 50 km. He again turns right and runs 30km and once again turns right and runs 50km.
To find: Distance between his starting and final point
Solution: According to the given question,
- Dingi runs 40 km towards North. Let this distance be AB. (AB = 40km)
- Then he turns right, i.e., towards East and runs 50km. Let this distance be BC. (BC = 50km)
- He again turns right i.e., towards South and runs 30km. Let this distance be CD. (CD = 30km)
- Once again he turns right i.e., towards West and runs 50km. Let this distance be DE. (DE = 50km)
Now, we observe that point E lies on AB and EB = CD (30km).
So, AE (the distance between starting point and final point) = AB - EB = 40km - 30km = 10km
Hence, Dingi is 10km far from his starting point. (Option C)
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