Answer :
The speed is the distance covered by an object at a particular time. The time taken by Danny and his sister Elise to meet is 1.2 hours.
What is speed?
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that Danny and his sister Elise are 24 miles apart. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour. Therefore, we can write,
Distance to cover = 24 miles
Since they are moving toward each other, therefore, the relative speed will be,
Relative speed = 8 miles per hour + 12 miles per hour = 20 miles per hour
Now, the time taken them to meet each other is,
Time = Distance / Speed
Time = 24 miles / 20 miles per hour
= 1.2 hours
Hence, the time taken by Danny and his sister Elise to meet is 1.2 hours.
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