your family is driving to houston,texas.A sign indicates that you are 700 miles from houston.Your car's trip odometer indicates you are 400 miles from home.YOu are traveling at an average speed of 60 miles per hour.

A. write an expression for the distance(in miles) you will be from houston in x hours

B. Write an expression for the distance (in miles) you will be from home in x hours.

C. use the expressions from parts (a) and (b) to write and solve an equation to find the number of hours you will drive until you are exactly halfway between houston and your home.

D. suppose you travel by local roads instead of the highway.you travel the 700 miles at a speed of 45 miles per hour.How long will you drive before you are exactly halfway between houston and your home?

im sorry i don't understand this
please help me thank you.

A. You need practice turning word problems into equations. This is not as hard as it looks. Consider A.

When you are 400 miles from home, you are 300 miles from Houston (assuming you are going in the right direction). In x hours, you will be 60 x miles closer to Houston. Subract that from 300 miles and you have the remaining distance to Houston.

B. At time zero you were 400 miles from home. At time t you are 60 t miles farther away. How do you get the total miles from home? Think about it.

Make an effort on these and let us know if you want further help.

um im sorry i still don't understand

this

drwls read the problem wrong. Poor kid been stuck on this problem for 9 years. Total distance is 1,100 not 700.

Sure, I'll be happy to help you understand this problem step by step.

A. To write an expression for the distance you will be from Houston in x hours, you need to consider that you are currently 400 miles from home and you are traveling at an average speed of 60 miles per hour. Since you are driving towards Houston, the distance from Houston will be the initial distance of 700 miles minus the distance you have covered in x hours (which is 60 miles per hour multiplied by x). Therefore, the expression for the distance from Houston in x hours would be:

Distance from Houston = 700 - (60 * x)

B. To write an expression for the distance you will be from home in x hours, you can simply use the average speed of 60 miles per hour multiplied by x hours. Since you are driving towards Houston, the distance from home will be the initial distance from home (400 miles) plus the distance you have covered in x hours. Therefore, the expression for the distance from home in x hours would be:

Distance from home = 400 + (60 * x)

C. To find the number of hours you will drive until you are exactly halfway between Houston and your home, you need to equate the distances from Houston and home and solve for x.
So, we can set up the equation:

700 - (60 * x) = 400 + (60 * x)

By simplifying and rearranging the equation, we can solve for x:

700 - 400 = (60 * x) + (60 * x)
300 = 120x

Dividing both sides by 120, we get:

x = 2.5

Therefore, you will drive for 2.5 hours (or 2 hours and 30 minutes) until you are exactly halfway between Houston and your home.

D. If you travel by local roads at a speed of 45 miles per hour, you can use a similar approach to find out how long you will drive before you are halfway between Houston and your home.

The equation would be:

700 - (45 * x) = 400 + (45 * x)

Simplifying and rearranging the equation, we get:

700 - 400 = (45 * x) + (45 * x)
300 = 90x

Dividing both sides by 90, we get:

x = 3.33

Therefore, you will drive for approximately 3.33 hours (or 3 hours and 20 minutes) before you are exactly halfway between Houston and your home when traveling by local roads at a speed of 45 miles per hour.

8 yrs later are you done with this problem