Malcolm and ravi raced each other. the average of their maximum speeds was 260 km/h. if doubled, malcolm's maximum speed would be 80 km/h more than ravi's maximum speed. what were malcolm's and ravi's maximum speeds?

The maximum speed of Malcolm is 300 km/h and the maximum speed of Ravi is 220 km/h.

Step-by-step explanation:

Let x be the maximum speed of Malcolm and y be the maximum speed of  Ravi in km/h .

Then according to the question, we have the following equations,

Multiplying equation (1) with 2 on both sides we get,

Adding (2) and (3), we get

Substitute value of x in (3), we get

Hence, the maximum speed of Malcolm is 300 km/h and the maximum speed of Ravi is 220 km/h.