Respuesta :
Using the relation between velocity, distance and time, it is found that:
- Pratham has a velocity of 10 km/h.
- Roshan has a velocity of 6 km/h.
What is the relation between velocity, distance and time?
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:
[tex]v_1 + v_2 = \frac{64}{4}[/tex]
[tex]v_1 + v_2 = 16[/tex]
[tex]v_1 = 16 - v_2[/tex]
In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:
[tex]v_1 - v_2 = \frac{64}{16}[/tex]
[tex]v_1 - v_2 = 4[/tex]
Since [tex]v_1 = 16 - v_2[/tex]:
[tex]16 - v_2 - v_2 = 4[/tex]
2v2 = 12.
v2 = 6.
v1 = 16 - 6 = 10 km/h.
Hence:
- Pratham has a velocity of 10 km/h.
- Roshan has a velocity of 6 km/h.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
