SOLUTION: If a sports car is traveling at 90 miles per hour, how long would it take the sports car to overtake a family car traveling at 50 miles per hour that left the same starting point 5

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: If a sports car is traveling at 90 miles per hour, how long would it take the sports car to overtake a family car traveling at 50 miles per hour that left the same starting point 5      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 864790: If a sports car is traveling at 90 miles per hour, how long would it take the sports car to overtake a family car traveling at 50 miles per hour that left the same starting point 5 hours earlier?
The sports car would overtake the family car in __ hours (if needed, round to two decimal places).

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
FOR THE SPORTS CAR
D=90(T-5)
FOR THE FAMILY CAR
D=50T
90(T-5=50T
90T-450=50T
90T-50T=450
40T=450
T=450/40
T=11.25 HOURS
PROOF:
D=90(11.25-5)
D=90*6.25
D=562.5 MILES
D=50*11.25
D=562.5 MILES