Final answer:
Malcolm's maximum speed is 200 km/h, which is determined by solving the system of two equations that describe the average maximum speed and the relationship between their speeds when Malcolm's speed is doubled.
Step-by-step explanation:
The question involves solving a system of equations based on the given conditions of Malcolm's and Ravi's maximum speeds. Their average maximum speed is given as 260 km/h, and when Malcolm's maximum speed is doubled, it is 80 km/h more than Ravi's maximum speed. By setting up equations and solving for the variables, we can find Malcolm's maximum speed.
Let Malcolm's speed be M km/h and Ravi's speed be R km/h. The first equation based on the average speed is:
(M + R) / 2 = 260
This simplifies to:
M + R = 520
The second condition gives us:
2M = R + 80
By solving these two equations simultaneously, we find that Malcolm's maximum speed is 200 km/h, which corresponds to option D.