Final answer:
Hannah drives 6 times as many minutes as Raoul. To find the number of minutes Hannah travels, we set up a system of equations and solve for x.
Step-by-step explanation:
To find the number of minutes Hannah travels, we need to set up a system of equations. Let's say Hannah drives for x minutes and Raoul drives for y minutes. According to the problem, Hannah drives 6 times as many minutes as Raoul, so we have the equation x = 6y. Together, they travel for 63 minutes, so we have the equation x + y = 63.
Substituting the value of x from the first equation into the second equation, we get 6y + y = 63. Combining like terms, we have 7y = 63. Dividing both sides by 7, we find that y = 9 minutes. Plugging this value into the first equation, we can solve for x: x = 6(9) = 54 minutes.
Therefore, Hannah travels for 54 minutes.