SOLUTION: Mike is driving 300 miles from Chicago to visit his friend in St.Louis. After 0.75 hrs, Mike had traveled 54 miles and after 2.5 hrs, he has traveled 180 miles. Write and equation

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Mike is driving 300 miles from Chicago to visit his friend in St.Louis. After 0.75 hrs, Mike had traveled 54 miles and after 2.5 hrs, he has traveled 180 miles. Write and equation       Log On

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Question 1051618: Mike is driving 300 miles from Chicago to visit his friend in St.Louis. After 0.75 hrs, Mike had traveled 54 miles and after 2.5 hrs, he has traveled 180 miles. Write and equation where X represents hours and M(x) represents distance traveled from Chicago. How many miles will it take mike to reach St.Lois ?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represnt hours, and M(x)=miles. Let r represent miles per hour speed. Then:
.75r=54 and 2.5r=180.
54/.75=180/2.5=72 mph
If x is hours then x(72)=M(x)
If Mike has driven 180 miles so far, then he has 300-180, or 120 more miles to go, which will take 120/72=1.67 more hours. ☺☺☺☺