The slowest mammal on Earth is the sloth. A sloth might move along a tree at a maximum rate of just 3 ^-1m each minute. At this rate, how long will it take a sloth to climb a tree that is 33 m tall?
3^-1 m/min = (1/3) m/min
so time = distance/rate = 33/(1/3) = 99 minutes
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To determine how long it will take the sloth to climb a tree that is 33 meters tall, we need to calculate the time it takes for the sloth to cover a distance of 33 meters at a rate of 1/3 meter per minute.
The calculation can be done using the formula:
Time = Distance / Rate
Substituting the given values:
Time = 33 meters / (1/3 meter per minute)
Simplifying this expression:
Time = 33 meters * (3 meters per minute)
Time = 99 minutes
Therefore, it will take the sloth approximately 99 minutes to climb a tree that is 33 meters tall.
To calculate the time it would take for a sloth to climb a tree, we need to divide the height of the tree by the speed at which the sloth moves.
Given that the sloth moves at a rate of 3 ^-1 m each minute, we can calculate the time it takes to climb a 33 m tall tree by using the formula:
Time = Distance / Speed
In this case, the distance is 33 m and the speed is 3 ^-1 m per minute.
Plugging in the values, we have:
Time = 33 m / (3 ^-1 m per minute)
Now, let's simplify the division. We can do this by multiplying the numerator and denominator by the reciprocal of the divisor:
Time = 33 m * (1 / (3 ^-1 m per minute))
Now, let's simplify further:
Time = 33 m * (1 / (1/3) m per minute)
Since dividing by a fraction is the same as multiplying by its reciprocal, we can rewrite this as:
Time = 33 m * (3/1 m per minute)
Let's multiply the values:
Time = 99 m^2 per minute
Therefore, it would take the sloth 99 minutes to climb a 33 m tall tree at its maximum speed.