Answer:
The given difference in speed and the arrival time, as well as the
distance traveled, gives the speeds as 500 and 600 km/hr.
Response:
- The speed of the superhero is 500 km/hr.
- The speed of the sidekick is 600 km/hr.
Which method is used to calculate the speed of the superhero, and the sidekick?
The given parameters are;
Superhero's speed = 1800 km
Speed of the superhero = Speed of the sidekick - 100 km/h
The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours
Required:
The speed of the superhero and the sidekick
Solution:
Let v represent the speed of the superhero, we have;
v × (t + 0.6) = (v + 100) × t
v·t + 0.6·v = v·t + 100·t = 1800
0.6·v = 100·t
Therefore;
0.006·v² + 0.6·v - 1800 = 0
Which gives;
v² + 100·v - 300,000 = 0
(v - 500)·(v + 600) = 0
v = 500, or v = -600
The speed of the superhero is 500 km/h
The speed of the sidekick is 500 km/h + 100 km/h = 600 km/h