SOLUTION: John and William leave their home traveling in opposite directions on a straight road. John drives 20 miles per hour faster than William. After 4 hours they are 250 miles apart.
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: John and William leave their home traveling in opposite directions on a straight road. John drives 20 miles per hour faster than William. After 4 hours they are 250 miles apart.
Log On
Question 366208: John and William leave their home traveling in opposite directions on a straight road. John drives 20 miles per hour faster than William. After 4 hours they are 250 miles apart.
a. Define a variable for John's rate. Write an expression for William's rate.
b. Write and solve an equation to find John's rate. Then find William's rate. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! John and William leave their home traveling in opposite directions on a straight road. John drives 20 miles per hour faster than William. After 4 hours they are 250 miles apart.
a. Define a variable for John's rate: x mph
Write an expression for William's rate: x-20 mph
-------
b. Write and solve an equation to find John's rate. Then find William's rate.
They are separating at the rate of x + x-20 = 2x-20 mph.
-------
Equation:
time*rate = distance
4(2x-20) = 250 miles
8x-80 = 250
8x = 330 miles
x = 41.25
----
William's rate = x-20 = 21.25 mph
=====================================
Cheers,
Stan H.
(