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23 April, 11:15

A taxi travels for x hours at 80 km per hour (km/h) and y hours at

100 km/h. The average speed for the journey of 560 km is 93 km/h.

Find X and y

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Answers (1)
  1. 23 April, 14:10
    0
    We have to find two equations because we are working with two variables.

    Equation 1: 80x+100y=560 (we know this because speed times time equals distance)

    Equation 2: x+y=560/93 (we know this because total distance over total time is average speed)

    Let us solve the system of equations by substitution.

    x+y=560/93 - --> x=560/93-y

    80x+100y=560

    80 (560/93-y) + 100y=560

    y=3.91 hours approx.

    Now we can plug in x to solve for y.

    x+3.91=560/93

    x=2.11 hours approx.

    answer: x=2.11 hours approx. and y=3.91 hours approx.
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