It takes Tammy 45 minutes to ride her bike 5 miles. At this rate, how longwill it take her to ride 8 miles?

72 minutes

45/5 = 9 minutes per mile

8 * 9 = ?

To find out how long it will take Tammy to ride 8 miles, we need to determine her average speed. We can use the formula: Speed = Distance / Time.

In this case, Tammy's speed can be calculated by dividing the distance she travels (5 miles) by the time it takes her to ride that distance (45 minutes). So her speed is 5 miles / 45 minutes.

To find out how long it will take Tammy to ride 8 miles, we can use this average speed. We can rearrange the formula to solve for time: Time = Distance / Speed.

Plugging in the values, we find: Time = 8 miles / (5 miles / 45 minutes).

Now, to simplify the equation, we can multiply the numerator by the reciprocal of the denominator: Time = 8 miles * (45 minutes / 5 miles).

By canceling out the unit of miles, we find: Time = 8 * 45 minutes / 5.

Simplifying the equation further, we get: Time = 360 minutes / 5.

Finally, dividing 360 minutes by 5 gives us: Time = 72 minutes.

Therefore, it will take Tammy 72 minutes to ride 8 miles at the same rate.

rate= 5mile/45min= 1mile/8 min

8 miles= rate*time
= 1mile/8min * time
time= 64 min