Malcolm's maximum speed was 280 km/h and Ravi's maximum speed was 240 km/h.
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
![(x+y)/(2) = 260.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4t8v9wrsktm53iis427suovetqng112462.png)
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
Take this as equation 2.
Step 2:
If we divide equation 2 by 2, we get
Take this as equation 3.
Substituting equation 3 in equation 1, we get
![y+40+y=520.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t20ieua4ijmbegl1tk4c7stb1m5tg4kb2x.png)
![2y+40=520.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/99vbhr8rj3wviu13gdzk23t7b9eu8mpbf3.png)
![2y = 480, y = 240.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ik4xdumgyrcp68g8s2d3z4vvwz5cmxoac4.png)
![x = 240+40 = 280.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dmji6vrzmag0onxrl8dfkaa38u22soiv75.png)
So Malcolm's maximum speed was 280 km/h and Ravi's maximum speed was 240 km/h.