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?
80 m/s
12 m/s
4 m/s
0.5 m/s
To find the average speed of the lioness, we need to calculate the total distance traveled and the total time taken.
Total distance = 60 m (first run) + 60 m (trotting) + 120 m (final race) = 240 m
Total time = 15 s (first run) + 20 s (surveying) + 25 s (trotting) + 20 s (final race) = 80 s
Average speed = Total distance / Total time = 240 m / 80 s = 3 m/s
Therefore, the answer is 3 m/s.
To find the average speed, we need to calculate the total distance traveled by the lioness and divide it by the total time taken.
First, let's calculate the total distance traveled:
Distance during the first run = 60 m
Distance during the trot = 60 m
Distance during the final race = 120 m
Total distance = 60 m + 60 m + 120 m = 240 m
Now, let's calculate the total time taken:
Time taken during the first run = 15 s
Time taken for surveying = 20 s
Time taken during the trot = 25 s
Time taken during the final race = 20 s
Total time = 15 s + 20 s + 25 s + 20 s = 80 s
Finally, we can calculate the average speed:
Average speed = Total distance / Total time = 240 m / 80 s = 3 m/s
Therefore, the average speed of the lioness is 3 m/s.