piop43
contestada

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

Respuesta :

The problem can be represented by two equations:

 

The average of the two speeds are 260 km/hr.  ->   1/2(X + Y) = 260

Twice Malcom's speeds is 80 more than Ravi's speed -> 2X - Y = 80

where X = Malcom's maximum speed, Y = Ravi's maximum speed.

 

This is two equations in two unknowns:

 

1)X + Y = 520

2)2X - Y = 80

 

add equations 1 and 2

 

3X = 600

X = 200,

 

Plug X back into equation 1.

 

200 + Y = 520 -> Y = 320.

 

Malcom's maximum speed is 200 km/hr.

Ravi's maximum speed is 320 km/hr.

Otras preguntas