Hannah travels 6 times as many minutes than Raoul does. Together, they travel 63 minutes. How many minutes does Hannah travel? Draw a model and wrote an equation to solve.

Let h represent the # of minutes that Hannah travels and r the # of minutes that Raoul travels. Then h + r = 63 min. We are told that h=6r.

Then 6r + r = 63 min, so:

7r = 63 min, and r=63 min / 7 = 9 min.

Raoul travels for 9 minutes and Hannah travels for 6 (9 minutes) = 54 minutes.