SOLUTION: Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah travel? Draw a model and write an equation to solve

Question 946633: Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah travel? Draw a model and write an equation to solve.
Found 2 solutions by josmiceli, Techpriest:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = minutes that Raoul travels
= time in minutes
------------

Hanna travels for 54 min
-----------------------
A pie chart would work
Make 2 slices:
degrees
for Raoul's time
degrees
for Hannah's time

Answer by Techpriest(29) (Show Source): You can put this solution on YOUR website!
Represent Hannah as H.
Represent Raoul as R.
We can assume that Hannah is a quick woman and is able to travel 6 times as fast Raoul does, we can write it in equation form such as

Based on the information given, we can create an equation based on how Hannah and Raoul travel together.

Based on the first equation given, we can use the substitution property and substitute H for R, like so the equation is now:

Now we can solve the equation to find Raoul's minutes first.

Combine Like Terms
Division Property of Equality

And since we know what R is, we know how many minutes Hannah can travel since Hannah travel 6 times as Raoul.

Now that we know how many minutes does Hannah travel, we must also show work to imply our values are correct.

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