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andreev551 [17]
3 years ago
9

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

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

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

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