Question

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

Answer 1

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Let m = Malcom's maximum speed

Let r = Ravi's maximum speed

Average of their maximum speed would be represented as $\frac{m + r}{2} = 260$

$m + r = 520$.

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

$\frac{-3r}{-3} = \frac{-960}{-3}$

$r = 320$

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