Question

What were Malcolm's and Ravi's maximum speeds?

Answer 1

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Explanation:

Let m = Malcom's maximum speed

Let r = Ravi's maximum speed

Average of their maximum speed would be represented as
`(m + r)/(2) = 260`

`m + r = 520`.

Make m the subject of the formula by subtracting r from both sides:

`m = 520 - r`. Let this be equation 1.

Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as:
`2m = r + 80`. This is equation 2.

Plug in (520 - r) into equation 2 to replace m:

`2(520 - r) = r + 80`

`1040 - 2r = r + 80`

Solve for r. Subtract 1040 from both sides:

`1040 - 2r - 1040 = r + 80 - 1040`

`- 2r = r - 960`

Subtract r from both sides

`- 2r - r = r - 960 - r`

`- 3r = - 960`

Divide both sides by -3

`(-3r)/(-3) = (-960)/(-3)`

`r = 320`

To find m, plug in the value of r into equation 1.

`m = 520 - r`. =>Equation 1

`m = 520 - 320`

`m = 200`.

Malcom's maximum speed = m = 200 km/h

Ravi's maximum speed = r = 320 km/h