Sophie bikes s miles per hour. Her friend Rana is slower. Rana bikes r miles per hour. Rana and Sophie each plan to bike for 3 hours tomorrow. How much farther will Sophie bike than Rana?
To solve this problem, we need to use the formula:
distance = rate x time
Let's start by finding the distance Sophie and Rana will bike tomorrow:
Distance Sophie will bike = s x 3
Distance Rana will bike = r x 3
Now, we need to find the difference between the two distances:
Difference = Distance Sophie will bike - Distance Rana will bike
Difference = (s x 3) - (r x 3)
Difference = 3(s - r)
Therefore, Sophie will bike 3(s - r) miles farther than Rana.