Respuesta :
Answer:
It takes 36 seconds for the object to travel 96 meters.
Step-by-step explanation:
We are given the following in the question:
The total distance an object travels varies directly with the length of time it travels.
An object travels 24 meters in 9 seconds.
Speed of object =
[tex]\text{Speed} = \dfrac{\text{Distance}}{\etext{Time}}\\\\=\dfrac{24}{9} = \dfrac{8}{3}\text{ meters per second}[/tex]
Now, we have to calculate the time taken to travel by the object for 96 meters.
[tex]\text{Time} = \dfrac{\text{Distance}}{\text{Speed}}[/tex]
Putting the values, we get,
[tex]\text{Time} = \dfrac{96}{\frac{8}{3}} = \dfrac{96\times 3}{8} = 36\text{ Seconds}[/tex]
Thus, it takes 36 seconds for the object to travel 96 meters.
Answer: it will take 36 seconds to travel 96 meters.
Step-by-step explanation:
Let d represent the total distance that the object travels.
Let t represent the length of time that the object travels.
The total distance an object travels varies directly with the length of time it travels. This means that
d is directly proportional to t
Introducing a constant vof proportionality k, it becomes
d = kt
If an object travels 24 meters in 9 seconds, then
24 = k × 9
k = 24/9
The expression becomes
d = 24t/9
Therefore, the time it will it take to travel 96 meters would be
96 = 24t/9
t = 96 × 9/24
t = 36 seconds
