Malcolm and robbie raced each other. the average of the maximum speed was 260 km/hour. if doubled malcolm’s maximum speed would be 80 km/hour more than robbys maximum speed. what were malcolm’s and robbie‘s maximum speed?

Maximum speed of Malcolm = 200 KM/hour

Maximum speed of Robby = 320 Km/hour

Step-by-step explanation:

To solve this question we will form the equations as per statements given in the question.

Let the maximum speed of Malcolm is x KM/hour and Robbie's maximum speed be y KM/hour.

Now it given that average of maximum speeds of both is 260 KM/hour

So the equation will be

x + y = 260×2 = 520 ------(1)

It is given that if doubled Malcolm's maximum speed would be 80 KM/hour more than Robby's maximum speed.

2x = y + 80

2x - y = 80 --------(2)

Now we add equation 1 to equation 2

(x + y) + (2x - y) = 520 + 80

3x = 600

x = 200 KM/hour

Finally we put the value of x in equation 1

200 + y = 520

y = 520 - 200 = 320 KM/hour

Finally the answer is maximum speed of Malcolm is 200 KM/hour and maximum speed of Robby is 320 KM/hour

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743