SOLUTION: A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 335950: A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each? Let r represent the rate of the car.
How would I write this equation out?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!

A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each? Let r represent the rate of the car.
--------------------------------------------------------
Car DATA:
distance = 245 miles ; rate = r mph ; time = 245/r hours
-----
Plane DATA:
distance = 2115 miles ; rate = r+340 mph ; time = 2115/(r+340) hours
-----
Equation:
car time = plane time
245/r = 2115/(r+340)
Cross-multiply
245(r+340) = 2115r
245r + 245*340 = 2115r
-------------------------------
245*340 = 1870r
r = 44.55 mph (car rate)
-----
r+340 = 384.55 mph (plane rate)
==================================
Cheers,
Stan H.