A caiman swims 185 meters at a speed of 6 m/s. It then enters a stream and slows to 2 m/s for 310 meters. What is the average speed of this cousin of the crocodile?

t₁=s₁/v₁ =185/6=30.83 s

t₂=s₂/v₂= 310/2=155 s
v(ave) =(s₁+s₂)/(t₁+t₂)=
=(185+310)/(30.83+155)=2.66 m/s

thanks

To find the average speed of the caiman, we need to calculate the total distance traveled and divide it by the total time taken.

Step 1: Calculate the time taken to swim at 6 m/s.
Time = Distance / Speed
Time = 185 meters / 6 m/s
Time ≈ 30.83 seconds

Step 2: Calculate the time taken to swim at 2 m/s.
Time = Distance / Speed
Time = 310 meters / 2 m/s
Time = 155 seconds

Step 3: Calculate the total distance traveled.
Total Distance = Distance at 6 m/s + Distance at 2 m/s
Total Distance = 185 meters + 310 meters
Total Distance = 495 meters

Step 4: Calculate the total time taken.
Total Time = Time at 6 m/s + Time at 2 m/s
Total Time = 30.83 seconds + 155 seconds
Total Time = 185.83 seconds

Step 5: Calculate the average speed.
Average Speed = Total Distance / Total Time
Average Speed = 495 meters / 185.83 seconds ≈ 2.66 m/s

Therefore, the average speed of the caiman is approximately 2.66 m/s.

To find the average speed of the caiman, we need to calculate the total distance traveled and divide it by the total time taken.

First, let's find the total distance traveled by the caiman. It swims 185 meters at a speed of 6 m/s, so the distance covered during this period is 185 meters.

Next, it enters the stream and slows down to 2 m/s. It swims for 310 meters during this time.

To calculate the total distance traveled, we add the distances from both segments:
Total distance = 185 meters + 310 meters = 495 meters.

Now, let's calculate the total time taken. To do this, we need to find the time taken in each segment and sum them up.

In the first segment, the caiman swims a distance of 185 meters at a speed of 6 m/s. We can use the formula: time = distance / speed.

Time taken in the first segment = 185 meters / 6 m/s = 30.83 seconds (rounded to two decimal places).

In the second segment, it swims a distance of 310 meters at a speed of 2 m/s.

Time taken in the second segment = 310 meters / 2 m/s = 155 seconds.

To find the total time taken, we add the times from both segments:
Total time taken = 30.83 seconds + 155 seconds = 185.83 seconds (rounded to two decimal places).

Finally, we can calculate the average speed by dividing the total distance traveled by the total time taken:

Average speed = total distance / total time = 495 meters / 185.83 seconds ≈ 2.66 m/s.

Therefore, the average speed of the caiman is approximately 2.66 m/s.