If the closest distance between Earth and Mars is approximately 3.39 times 10^7 miles and the fastest rocket leaving Earth travels at an average speed of approximately 3.6^4 miles per hour.

B. How many hours would it take to travel from Earth to Mars?

To calculate the time it would take to travel from Earth to Mars, we need to divide the distance between the two planets by the average speed of the fastest rocket leaving Earth.

Distance between Earth and Mars: 3.39 x 10^7 miles
Average speed of the fastest rocket leaving Earth: 3.6 x 10^4 miles per hour

Time = Distance / Speed
Time = (3.39 x 10^7) / (3.6 x 10^4)
Time = 9.41666666667 x 10^2 hours

Therefore, it would take approximately 941.67 hours (or 941 hours and 40 minutes) to travel from Earth to Mars using the fastest rocket leaving Earth.