IKMC 2018 - Grades 9-10 - Set 2 - Self-study Question 11

Question 11

Two buildings on a street are 250 m apart. The first houses 100 students, the second 150. Where should a bus stop be placed to minimise the total walking distance from the stop to their buildings for all residents?

in front of the first building
100 m from the first building
100 m from the second building
in front of the second building
anywhere between the buildings