Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times for a total distance of 141 miles. This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles. What is the distance of the morning route in miles?

Question

Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times for a total distance of 141 miles. This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles. What is the distance of the morning route in miles?

Answer 1

Let x be the distance of the morning route in miles.

From the information given:

16x + 12(141 - x) = 141
16x + 1692 - 12x = 141
4x = 1692 - 141
4x = 1551
x = 1551 / 4
x = 387.75 miles

Therefore, the distance of the morning route is 387.75 miles.