Question

Two families are vacationing together, driving in separate cars. The Harris family averages 45 mph, leaving Hometown 6 minutes ahead of the Arlen family, who averages 58 mph. How long will it take the Arlen family to overtake the Harris family?

Answer 1

h=45(t+0.1), a=58t  The Arlen family will overtake the Harris family when:

58t>45(t+0.1)

58t>45t+4.5

13t>4.5

t>0.346

So it will take about 0.346 hours ( 20 min 46 seconds ) for the Arlen's to overtake the Harris'