SOLUTION: If a truck travels 280 miles in the same time that it takes a car to travel 455 miles, if the truck is 25 miles per hour slower than the car find the rates
Question 1032831: If a truck travels 280 miles in the same time that it takes a car to travel 455 miles, if the truck is 25 miles per hour slower than the car find the rates Found 2 solutions by fractalier, josgarithmetic:Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website! In all these kinds of problems, we know the rate times time equals distance, or rt = d.
Let us call the rate (or speed) of the truck, r.
Then the rate of the car is r+25.
The times each one travels are equal...so we can write (using t = d/r)
Now cross-multiply and solve for r...we get
280r + 7000 = 455r
Subtract 280r and get
7000 = 175r
r = 40 mph (truck) and
r+25 = 65 mph (car) Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website! Assign variables, use RT=D to relate speed, time, distance, setup a table of data (if this helps), and form a system of equations.
VEHICLE SPEED TIME DISTANCE
TRUCK r-25 t 280
CAR r t 455