Question

The third exit on a highway is located on milepost 50 in the 10th exit is on milepost 210. There is a service center on the highway located 2/5 of the way from the third exit to tenths exit. What is the distance from the service center to the beginning point?

Thank You

Answer 1

Explanation:

here are the steps to solve the problem:

Find the distance between the third exit and the tenth exit by subtracting the milepost of the third exit from the milepost of the tenth exit:

Distance between third and tenth exits = 210 - 50 = 160 miles

Determine the distance from the third exit to the service center by multiplying the distance between the third and tenth exits by 2/5:

Distance from third exit to service center = 160 x 2/5 = 64 miles

Add the distance from the beginning point to the third exit (which is 50 miles) to the distance from the third exit to the service center (which is 64 miles) to find the distance from the service center to the beginning point:

Distance from service center to beginning point = 50 + 64 = 114 miles

Therefore, the distance from the service center to the beginning point is 114 miles.