SOLUTION: Mike and Susan both drive for a shipping company. Mike Averages 20 mph less than Susan. In fact, Mike drives so slow that in 5 hours, he covered fewer miles than Susan did in 3 hou

Algebra ->  Inequalities -> SOLUTION: Mike and Susan both drive for a shipping company. Mike Averages 20 mph less than Susan. In fact, Mike drives so slow that in 5 hours, he covered fewer miles than Susan did in 3 hou      Log On


   



Question 267983: Mike and Susan both drive for a shipping company. Mike Averages 20 mph less than Susan. In fact, Mike drives so slow that in 5 hours, he covered fewer miles than Susan did in 3 hours. What are the possible values for Mikes speed? express your answer with an inequality
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = Susan's average speed in mi/hr
Then s+-+20 = Mike's average speed in mi/hr
In 5 hrs, Mike covers, on average, 5%2A%28s-5%29 mi
In 3 hrs, Susan covers 3s mi
given:
3s+%3E+5%2A%28s-20%29
3s+%3E+5s+-+100
2s+%3C+100
s+%3C+50
Susan's speed is less than 50 mi/hr
Mikes average speed is s+-+20
s+-+20+%3C+50+-+20
s+-+20+%3C+30
Mikes average speed must be less than 30 mi/hr