Problema Solution

The third exit on a highway is located at milepost 40 and the tenth exit is located at milepost 160. A service center on the highway is located three-fourths of the way from the third to the tenth exit. At what milepost would you expect to find this service center?

Answer provided by our tutors

There are 160-40=120 miles between the third and tenth exits, so the service center is at milepost


40+(3/4)(160 - 40) = 40+(3/4)120 = 40 + 90 = 120 miles.