Question

You are one mile from the railroad station, and your train is due to leave in ten minutes. You have been walking at a steady rate of 3 mph, and you can run at 8 mph if you have to. For how many more minutes can you continue walking, until it becomes necessary for you to run the rest of the way to the station?

Answer 1

x=1.818minutes

Explanation:

3/60 miles per minute for walk

8/60 miles per minute for run

0.05x + 0.1333y=1

x+y=10

x=y-10

0.05(y-10) + 0.133333y = 1

0.05y-0.5+0.133333y=1

0.18333y=1.5

y=8.18minutes

x=10-8.18

x=1.818minutes