SOLUTION: Hong drove 792 miles in 11 hours. At the same rate, how long would it take him to drive 504 miles? For this problem we will use the formula: Distance = Rate � Time or D=RT. W

Question 655605: Hong drove 792 miles in 11 hours.
At the same rate, how long would it take him to drive 504 miles?
For this problem we will use the formula: Distance = Rate � Time or D=RT. Where D = Distance, R = Rate, and T = Time.
We must observe there are multiple steps required needed to yield a solution. The question asked is: �how long would it take him to drive 504 miles? So, we are being asked to calculate the amount of time it would take to travel 504 miles.
We know that Hong traveled 792 miles in 11 hours, but we do not know the rate (miles per hour) it took him to make this trip. This is where we apply the formula: D=RT.
Let�s review our given variables:
D = 792 miles
T = 11 hours
R = ?
The rate (R) is our unknown. So we need to establish a formula where we are solving for �R�
We know D=RT, but we need to solve for R,
1. D = RT, but we are solving for R and need to isolate this variable.
2. T (Time) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by T:
4. The T�s cancel each other out on the right hand side
5. The final formula is:
6. Next we plug in our given variables: , and divide = Rate
7. This gives us our rate (R) of 72 miles per hour.
Now we know the rate (R) that we need to answer the question. Remember we are using the same rate to figure the time it would take Hong to travel 504 miles.
Here we apply our formula again: D=RT
Let�s Review our given variables for this part of the problem:
D = 504 miles
R = 72 miles per hour
T = ?
The time (T) is our unknown now. We know D=RT, but now we must solve for T.
1. D = RT, but we are solving for T and need to isolate this variable.
2. R (Rate) is on the right hand side of the expression, and needs to be moved to the left hand side of the expression.
3. We undo multiplication by dividing both sides of the equation by R: =
4. The R�s cancel each other out on the right hand side
5. The final formula is:
6. Next we plug in our given variables: , and divide = Time
7. This gives us our time (T) of 7 hours.
So it would take Hong 7 hours to drive 504 miles.

Found 2 solutions by rfer, meay7c:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
792/11=504/x
792x=5544
x=5544/792
x=7 hrs
Answer by meay7c(10) (Show Source): You can put this solution on YOUR website!

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