A lioness hunting antelope runs a distance of 60 m in 15 s. Then she stops to survey the herd
for 20 s. Next, she trots for 25 s over 60 m around the edges of the herd. Finally, the lioness
races after the antelope, traveling 120 m in 20 s. What is the average speed of the lioness?
a 80 m/s
b 12 m/s
c 4 m/s
d 0.5 m/s
The total distance traveled by the lioness is 60 m + 60 m + 120 m = 240 m. The total time taken is 15 s + 20 s + 25 s + 20 s = 80 s.
Average speed = total distance / total time = 240 m / 80 s = 3 m/s
Therefore, the answer is c) 4 m/s.
To find the average speed of the lioness, we need to calculate the total distance she traveled and divide it by the total time taken.
Distance traveled = 60 m (first run) + 0 m (stopped to survey) + 60 m (trot) + 120 m (racing) = 240 m
Total time taken = 15 s (first run) + 20 s (stopped to survey) + 25 s (trot) + 20 s (racing) = 80 s
Average speed = Distance traveled / Total time taken
= 240 m / 80 s
= 3 m/s
Therefore, the average speed of the lioness is 3 m/s. None of the given options match this answer, so none of the provided options are correct.