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?

Malcolm's maximum speed was

km/h and Ravi's maximum speed was

km/h.

The problem can be represented by two equations:

The average of the two speeds are 260 km/hr. - > 1/2 (X + Y) = 260

Twice Malcom's speeds is 80 more than Ravi's speed - > 2X - Y = 80

where X = Malcom's maximum speed, Y = Ravi's maximum speed.

This is two equations in two unknowns:

1) X + Y = 520

2) 2X - Y = 80

add equations 1 and 2

3X = 600

X = 200,

Plug X back into equation 1.

200 + Y = 520 - > Y = 320.

Malcom's maximum speed is 200 km/hr.

Ravi's maximum speed is 320 km/hr.