[JEE Advanced 1982] towns a b are 60 km apart with 150 students in a and 50
Towns $A,B$ are $60$ km apart, with $150$ students in $A$ and $50$ in $B$. To minimise the total distance travelled by all $200$ students, the school should be built at
(a) town $B$
(b) $45$ km from $A$
(c) town $A$
(d) $45$ km from $B$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (c) town $A$
Total distance is minimised at the location of the larger group, so the school goes in town $A$ (cost $50\times60$ vs $150\times60$ at $B$).
JEE Advanced 1982 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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