131k views
4 votes
The cheetah can run 103 km/h, a falcon can

fly 148 km/h, and a sailfish can swim 92 km/h.
The three of them run a relay with each covering a distance L at maximum speed.
What is the average speed of this relay
team?
Answer in units of km/h.

User Hamouda
by
7.8k points

1 Answer

4 votes

Answer: 109.9 km/h

Step-by-step explanation:

To find the average speed of the relay team, we need to determine the total distance covered by the three animals and the time it takes for them to complete the race. Assuming each animal runs/swims at maximum speed for distance L, we can calculate the time it takes for each animal to complete its part of the relay as:

Cheetah: Time taken = Distance / Speed = L / 103

Falcon: Time taken = Distance / Speed = L / 148

Sailfish: Time taken = Distance / Speed = L / 92

Since the three animals take turns to complete the race, the total time taken for the relay race would be the sum of the time taken by each animal:

Total time taken = L/103 + L/148 + L/92

To find the average speed, we need to divide the total distance covered (3L) by the total time taken:

Average speed = Total distance / Total time

= 3L / (L/103 + L/148 + L/92)

= 3 / (1/103 + 1/148 + 1/92)

= 109.9 km/h (rounded to one decimal place)

Therefore, the average speed of the relay team is approximately 109.9 km/h.

Regenerate response

User RonyK
by
7.4k points