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4 March, 21:32

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.

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Answers (1)
  1. 4 March, 22:03
    0
    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.
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