Answer:
[tex]25\ seconds[/tex]
Step-by-step explanation:
Hi,
Time, speed and distance are related by a very simple formula:
[tex]Distance = Time \times Speed[/tex]
Which can easily be used here to solve the question.
To find the time, we require:
Speed:
This is given in the question as 4 ft/ sec.
Distance:
On a circle, the distance from the end of the circle to the centre is referred to as "Radius". We shall assume the radius here is [tex]r[/tex].
To calculate the radius, we can use the formula of the circumference: [tex]C = 2 \pi r[/tex]
Were are given that C = 628 feet.
Using the formula: [tex]r = \frac{628}{2 \pi} = 100\ feet[/tex]
The distance the boat needs to travel is 100 feet.
Time:
To calculate time, we alter the provided formula to: [tex]Time = \frac{Distance}{Speed}[/tex]
Substituting the values in this: [tex]Time = \frac{r}{4}[/tex]
[tex]Time = \frac{100}{4} = 25\ seconds[/tex]
The boat requires 25 seconds to travel from the edge of the pond to centre.