Class 12

Math

Calculus

Application of Derivatives

Two towns $AandB$ are 60 km apart. A school is to be built to serve 150 students in town $Aand50$ students in town $B˙$ If the total distance to be travelled by 200 students is to be as small as possible, then the school should be built at (a)town B (b)town A (c)45 km from town A (d)45 km from town B