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:

Represent the maximum speed of Malcolm and Ravi with equation as follows:

Let Malcom's speed be x, and Ravi's speed by y.

The average of speed is said to be 260 km/h. An equation to represent this is: $\frac{x + y}{2} = 260$

$x + y = 260*2$

$x + y = 520$ => equation 1.

We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is $2x = y + 80$

$2x - y = 80$ => equation 2

Now that we have 2 equations as a system, solve for the values of x and y simultaneously.

Add both equations together to eliminate y

$x + y = 520$

$2x - y = 80$

$3x = 600$

$x = \frac{600}{3}$

$x = 200$

Plug in the value of x into equation 1 to find y.

$200 + y = 520$

$y = 520 - 200$

$y = 320$

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

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