Answer:
a) Speed when crossing the path: 6 meters per hour
b) Speed when crossing the grass: 15 meters per hour
c) Average speed for the whole journey: 9 meters per hour
Step-by-step explanation:
To find the speed of the tortoise when it crossed the path and the grass, and its average speed for the whole journey, we'll use the formula:
Speed = Distance / Time
First, let's calculate the speed when the tortoise crossed the path:
Speed when crossing the path:
Distance = 1 meter
Time = 10 minutes = 10/60 hours (converted to hours)
Speed = 1 meter / (10/60) hours = 1 meter / (1/6) hours = 6 meters per hour
Now, let's calculate the speed when the tortoise crossed the grass:
Speed when crossing the grass:
Distance = 2 meters
Time = 8 minutes = 8/60 hours (converted to hours)
Speed = 2 meters / (8/60) hours = 2 meters / (1/7.5) hours = 15 meters per hour
Next, let's calculate the total distance covered by the tortoise during the entire journey and the total time taken:
Path distance = 1 meter
Grass distance = 2 meters
Total distance = Path distance + Grass distance = 1 meter + 2 meters = 3 meters
Time taken for the path = 10 minutes = 10/60 hours (converted to hours)
Time taken for the grass = 8 minutes = 8/60 hours (converted to hours)
Rest time = 2 minutes = 2/60 hours (converted to hours)
Total time = Time taken for the path + Time taken for the grass + Rest time
Total time = (10/60) hours + (8/60) hours + (2/60) hours = (20/60) hours = 1/3 hours
Now, let's calculate the average speed for the whole journey:
Average speed for the whole journey:
Average speed = Total distance / Total time
Average speed = 3 meters / (1/3) hours = 3 meters / (1/3) hours = 9 meters per hour
So, to summarize:
a) Speed when crossing the path: 6 meters per hour
b) Speed when crossing the grass: 15 meters per hour
c) Average speed for the whole journey: 9 meters per hour