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Grid navigation back-to-home: Minimum straight distance to return. Path: From home, Ravi cycles 10 km South → right 5 km → right 10 km → left 10 km. Question: How many kilometers must he cycle in a straight line to reach home? Choose the correct value.

Q: Grid navigation back-to-home: Minimum straight distance to return. Path: From home, Ravi cycles 10 km South → right 5 km → right 10 km → left 10 km. Question: How many kilometers must he cycle in a straight line to reach home? Choose the correct va…

Coordinate setup Home = (0,0)10 km South ⇒ (0, −10)Right (from South) = West 5 ⇒ (−5, −10)Right (from West) = North 10 ⇒ (−5, 0)Left (from North) = West 10 ⇒ (−15, 0) Straight-line back to home Distance = |x| = 15 km.

Difficulty: Easy

10 km
15 km
20 km
25 km

Correct Answer: 15 km

Explanation:

Coordinate setup
Home = (0,0)10 km South ⇒ (0, −10)Right (from South) = West 5 ⇒ (−5, −10)Right (from West) = North 10 ⇒ (−5, 0)Left (from North) = West 10 ⇒ (−15, 0)

Straight-line back to home
Distance = |x| = 15 km.

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