Malcolm's maximum speed was 280 km/h and Ravi's maximum speed was 240 km/h.
Step-by-step explanation:
Step 1:
Assume Malcolm's maximum speed was x and Ravi's maximum speed was y.
The average of their maximum speeds was 260 km/h.
So [tex]\frac{x+y}{2} = 260.[/tex]
[tex]x+y=520.[/tex] Take this as equation 1.
If their maximum speeds are doubled, Malcolm's maximum speed would be 80 km/h more than Ravi's.
So [tex]2x = 2y+80.[/tex] Take this as equation 2.
Step 2:
If we divide equation 2 by 2, we get
[tex]x=y+40.[/tex] Take this as equation 3.
Substituting equation 3 in equation 1, we get
[tex]y+40+y=520.[/tex]
[tex]2y+40=520.[/tex]
[tex]2y = 480, y = 240.[/tex]
[tex]x = 240+40 = 280.[/tex]
So Malcolm's maximum speed was 280 km/h and Ravi's maximum speed was 240 km/h.
