Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. If they continues to ride at those speeds, who will bike the farthest in 1 hour? How much farther? Please show work

Gloria will travel the farthest in 1 hour by 2 miles.

Step-by-step explanation:

First, we need to find the unit rates of both speeds:

Gloria's 40 minutes divided by 8 miles is 5 minutes per mile

Nanette's 30 minutes divided by 5 miles is 6 minutes per mile

Looking at this, we can clearly see Gloria's rate is faster due to the fact that 5 minutes per mile is faster than 6 minutes per mile.

Now, to calculate how far they can travel in one mile, to determine the difference between the 2 results. That difference will answer the second question.

Gloria's 5 minutes per mile will result in 12 miles in an hour

Nanette's 6 minutes per mile will result in 10 miles in an hour

If you find the cost to stay in the hotel for one day, then you can find the cost to stay for any amount of days. (The big assumption in the question is that the cost is constant and it’s value per day doesn’t change over time)

90720/7 = $12960/day which means it costs 3 times this for three days

So the answer is $38,880