Changing rates/proportions

[DLM]

The hikers covered the first 108 miles in 12 hrs. Then they doubled their pace to travel the next 150 miles. How long did it take the hikers to travel the total distance of 258 miles?

108/12=9/1
9x2/1=18/1
150/18=8.33
12hrs + 8.33hrs= 20.33 hrs to travel 258 miles.

Is this answer correct?
Please advise and provide feedback.

 

[lev888]

The hikers covered the first 108 miles in 12 hrs. Then they doubled their pace to travel the next 150 miles. How long did it take the hikers to travel the total distance of 258 miles?

108/12=9/1
9x2/1=18/1
150/18=8.33
12hrs + 8.33hrs= 20.33 hrs to travel 258 miles.

Is this answer correct?
Please advise and provide feedback.

It's correct if you are supposed to convert 150/18 to a decimal. I don't like that there is no explanation, no units in intermediate calculations. What is 9x2/1?

 

[DLM]

Im trying to solve the word problem. The math equations are how I was taught to solve it. 108 miles in 12 hrs = 9 miles per hr.
The word problem says they doubled their pace 9x2 per 1 hr. or 9x2/1 or 18/1 - 18 miles per hr.
It's the second part I'm hung up on, I think.
Did I calculate the correct answer to the word problem?

 

[Deleted member 4993]

Im trying to solve the word problem. The math equations are how I was taught to solve it. 108 miles in 12 hrs = 9 miles per hr.
The word problem says they doubled their pace 9x2 per 1 hr. or 9x2/1 or 18/1 - 18 miles per hr.
It's the second part I'm hung up on, I think.
Did I calculate the correct answer to the word problem?

Where is the SECOND part? Response #2 told you that your answer was numerically correct.

 

[Cubist]

108 miles in 12 hrs = 9 miles per hr.
they doubled their pace 9x2 per 1 hr. or 9x2/1 or 18/1 - 18 miles per hr.

Good! I think this explanation is much more clear than post#1

It's the second part I'm hung up on, I think.
Did I calculate the correct answer to the word problem?

You could also make the "150/18=8.33" calculation more clear with units/ description, but yes it's correct.

@lev888 was making the point that you might be required to give an exact, fractional, answer rather than the decimal approximation (depending on what your textbook/ teacher requires).