a) Sam's average speed is simply the distance she traveled divided by the time it took her to travel that distance. Therefore, Sam's average speed is 15 km/hour.
b) If Sam wants to double her speed, she needs to travel the same distance in half the time. Therefore, if Sam wants to double her speed and travel the same distance of 15 km, she would need to take half the time it took her to travel the same distance initially.
Since she initially traveled the distance in 1 hour, she would need to take half an hour (30 minutes) to travel the same distance at double her speed of 30 km/hour.