Respuesta :
Answer:
Total distance traveled by bird is 10.5 km.
Explanation:
Given that,
Velocity of runner= 8.4 km/hr
Distance = 6.3 km
Velocity of bird = 42 km/hr
Suppose, How far does the bird travel?
We need to calculate the time of bird
Using formula of time
[tex]t=\dfrac{d}{v_{b}}[/tex]
Put the value into the formula
[tex]t=\dfrac{6.3}{42}[/tex]
[tex]t=0.15\ hr[/tex]
We need to calculate the distance runner travels during time period
Using formula of distance
[tex]d=v_{r}\times t[/tex]
[tex]d=8.4\times0.15[/tex]
[tex]d=1.26\ km[/tex]
We need to calculate the distance of runner to FL
Using distance
[tex]d'=6.3-1.26[/tex]
[tex]d'=5.04\ km[/tex]
We need to calculate the net closing speed between runner and bird
Using speed
[tex]v'=v_{r}+v_{b}[/tex]
[tex]v'=8.4+42[/tex]
[tex]v'=50.4\ km/hr[/tex]
We need to calculate the time for runner and bird to meet
Using formula of time
[tex]t=\dfrac{d}{v'}[/tex]
Put the value into the formula
[tex]t=\dfrac{5.04}{50.4}[/tex]
[tex]t=0.1\ hr[/tex]
We need to calculate the distance covered by runner
Using formula of distance
[tex]d=vt[/tex]
Put the value into the formula
[tex]d=8.4\times0.1[/tex]
[tex]d=0.84\ km[/tex]
We need to calculate the distance covered by bird to runner
Using formula of distance
[tex]d=vt[/tex]
Put the value into the formula
[tex]d=42\times0.1[/tex]
[tex]d=4.2\ km[/tex]
We need to calculate the total distance
Using distance
[tex]D=6.3+4.2[/tex]
[tex]D=10.5\ km[/tex]
Hence, Total distance traveled by bird is 10.5 km.
