a firm has a branch store in each of the three cities A B and C. A and B are 320 km apart and C is 200 kilometre from each of them.A Godown is to be built equidistant from A and B.In order to minimize the time of transportation it should be located so that sum of distances from the Godown to each of the cities is minimum.Where the Godown should be built?

A firm has a branch store in each of the three cities A,B and C. A and B are 320km apart and C is 200km from each of them. A warehouse is to be built equidistant from A and B. In order to minimize the time of transportation, it should be located such that the sum of the distances from the warehouse to each of the cities is minimum. Where should the warehouse be built?