Answer:
It takes 3.5 hours for the second plane to catch the first plane.
Step-by-step explanation:
From the information given:
To find when the second plane catches the first plane, the distances of both planes must be equal.
We can use Distance = Rate x Time.
Let t be the time.
Distance of the first plane = Rate x Time = [tex]300\cdot t + 350[/tex]
Distance of the second plane = Rate x Time = [tex]400\cdot t [/tex]
Distance of the second plane = Distance of the first plane
[tex]400\cdot t=300\cdot t + 350[/tex]
Solving for t.
[tex]100\cdot t = 350[/tex]
t = 3.5 hours
It takes 3.5 hours for the second plane to catch the first plane.
The distance travelled by the two planes is an illustration of a linear function.
It will take the second plane 3.5 hours to catch up with the first plane
Let t represent time and d represent distance
The distance traveled by the first plane is represented as:
[tex]\mathbf{d_1 = 350 + 300t}[/tex]
The distance traveled by the second plane is represented as:
[tex]\mathbf{d_2 = 400t}[/tex]
Both planes will be at the same distance, when d1 = d2.
So, we have:
[tex]\mathbf{400t = 350 + 300t}[/tex]
Subtract 300t from both sides
[tex]\mathbf{400t - 300t = 350}[/tex]
Subtract
[tex]\mathbf{100t = 350}[/tex]
Divide both sides by 100
[tex]\mathbf{t = 3.50}[/tex]
Hence, it will take the second plane 3.5 hours to catch up with the first plane
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