Jesse jogs at a rate of 6 miles per hour. The next time she jogs, she increases her speed to 7 miles per hour. How long will it take her to jog 6 miles?

First, Jesse covers 6 miles in 1 hour at 6 miles per hour (60 minutes).

If his new speed is 7 miles per hour:

Velocity= Distance/Time
Solve for Time(T):
TIME(T) =DISTANCE/VELOCITY...becomes:
T(hr)=(6 miles X 1HR)/7 miles
Miles cancel, leaves hour(T),therefore 6/7=.857hours
(.857 hours X 60 min)/hr=
51 MINUTES IS THE ANSWER

To find the time it will take Jesse to jog 6 miles at a certain speed, we can use the formula: time = distance / speed.

For the first instance, where Jesse is jogging at a rate of 6 miles per hour, we can calculate the time it will take her to jog 6 miles using the formula: time = 6 miles / 6 miles per hour.

Dividing 6 miles by 6 miles per hour, we find that it will take Jesse 1 hour to jog 6 miles when she is jogging at 6 miles per hour.

Next, let's find out how long it will take Jesse to jog 6 miles when she is jogging at 7 miles per hour. We can use the same formula: time = distance / speed.

Plugging in the values, we have: time = 6 miles / 7 miles per hour.

Dividing 6 miles by 7 miles per hour, we find that it will take Jesse approximately 0.857 hours to jog 6 miles when she is jogging at 7 miles per hour.

Therefore, the answer is that it will take Jesse 1 hour to jog 6 miles when she is jogging at a rate of 6 miles per hour, and approximately 0.857 hours (or about 51.4 minutes) to jog 6 miles when she is jogging at a rate of 7 miles per hour.