Answer:
Malcolm’s maximum speed is 200 km/h and and Ravi’s maximum speeds is 320 km/h.
Step-by-step explanation:
Let x and y are the maximum speeds ( in km / h ) of Malcolm and Ravi respectively,
Then according to the question,
[tex]\frac{x+y}{2}=260[/tex]
[tex]\implies x + y = 520-----(1)[/tex]
Again according to the question,
[tex]2x = y + 80[/tex]
[tex]\implies 2x - y = 80----(2)[/tex]
Equation (1) + equation (2),
3x = 600
⇒ x = [tex]\frac{600}{3}[/tex] = 200,
From equation (1),
200 + y = 520
⇒ y = 520 - 200 = 320
Hence, Malcolm’s and Ravi’s maximum speeds are 200 km/h and 320 km/h respectively.