SOLUTION: A truck enters a highway driving 60 mph. A car enters the same highway 13 minutes later and driving 71 mph. How long does it take the car to pass the truck?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A truck enters a highway driving 60 mph. A car enters the same highway 13 minutes later and driving 71 mph. How long does it take the car to pass the truck?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 153630: A truck enters a highway driving 60 mph. A car enters the same highway 13 minutes later and driving 71 mph. How long does it take the car to pass the truck?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A truck enters a highway driving 60 mph. A car enters the same highway 13 minutes later and driving 71 mph. How long does it take the car to pass the truck?
---------------------
Car DATA:
distance = x miles ; rate = 71 mph ; time = d/r = x/71 hrs
---------------------
Truck DATA:
distance = x miles ; rate = 60 mph ; time = x/60 hrs
-----------------
EQUATION:
truck time - car time = 13 min = (13/60) hrs.
----------------------------------------------
x/60 - x/71 = 13/60
Multiply thru by 71*60:
71x - 60x = 71*13
11x = 71*13
x = 83.91 miles (distance required for the car to catch the truck)
==============================
Cheers,
Stan H.