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Malcolm and Ravi raced each other. The average of their maximum speeds was 260 km/h If doubled, Malcolm's maximum speed would be 80km/h end text more than Ravi's maximum speed. What were Malcolm's and Ravi's maximum speeds

Respuesta :

Answer

Given,

Average speed of Malcolm and Ravi = 260 km/h

Let speed of the Malcolm be X and speed of the Ravi Y.

From the given statement

[tex]\dfrac{X+Y}{2}=260 [/tex]

[tex] X + Y = 520[/tex] ....(i)

[tex]2X - Y = 80 [/tex]  ....(ii)

Adding both the equations

3 X = 600

 X = 200 km/h

Putting value in equation (i)

Y = 520 - 200

Y = 320 Km/h

Speed of Malcolm = 200 Km/h

Speed of Ravi = 320 Km/h

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