Question

Solved.

Answer 1

Please help!!!

Answer 2

Here, you want to find the total drive time, and they give you the distance and the rate. Assume he is going the max speed without speeding. What do you believe the first step should be?

Answer 3

Do we set it up as a proportion? I don't really know where to first start. :(

Answer 4

hey

Answer 5

It's not a proportion. Here, let's set it up like this.

Answer 6

Thanks for the help! I appreciate it.

Answer 7

\[x= 900/65\]
Here you are looking for the time. That is your unknown. You know the distance to be travelled, that goes on top of the rate.

Answer 8

So would the answer be solving for x?

Answer 9

Precisely.

Answer 10

I reduced it to: 180/13 would that be the answer?

Answer 11

You would do the same for the second half of the equation, and then add the two times to get the total driving time.

Answer 12

Is your teacher looking for decimals or fractions?

Answer 13

so 600/75 + 900/65?
Which is approximately: 21.85 hours?

Answer 14

Yes, however you do not know the actual speed of his driving. He could be going under the speed limit. So that is why you use a variable.

Answer 15

From the wording, it looks like he is driving the same speed the entire trip.

Answer 16

Okay, how would the final equation look like?

Answer 17

Refer back to the first equation, and think about the placement of the variables.

Answer 18

Would it be just 900/65 + 600/75?

Answer 19

Would we include a in the equation?

Answer 20

No, you want to make it as simple as possible. The man is driving the same speed through the trip. You only have one variable on that side. Because of that, you can add the distances together.

Answer 21

Okay, thank you! :)