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GATE 2026 AR — Planning – Question 64

Urban Land Use and Transportation · Transport infrastructure and allied facilities planning · 2 marks · Numerical answer

The network’s link labels give travel minutes. Find the minimum A-to-G travel time, as an integer.

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Correct answer: 29 to 29

Explanation

Shortest-path relaxation from A gives C=8, B=10, D=15 via B, E=18 via C, F=21 via D, and H=22 via D. The best arrival at G is through F:21+8=29 minutes. Thus A–B–D–F–G takes 10+5+6+8=29 minutes. Arrival through E would take 33 minutes and through H 34, so neither improves the result.

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