When a dog noticed a fox, they were 60 meters apart. The dog immediately started to chase the fox at

Discussion in 'Calculator Requests' started by math_celebrity, Nov 10, 2018.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    When a dog noticed a fox, they were 60 meters apart. The dog immediately started to chase the fox at a speed of 750 meters per minute. The fox started to run away at a speed of 720 meters per minute. How soon will the dog catch the fox?

    The dog sits a position p.
    Distance = Rate x Time
    The dogs distance in minutes is D = 720t

    The fox sits at position p + 60
    Distance = Rate x Time
    The fox's distance in minutes is D = 750t - 60 <-- Subtract 60 since the fox is already ahead 60 meters.

    We want to know when their distance (location) is the same. So we set both distance equations equal to each other:
    720t = 750t - 60

    Using our equation calculator, we get t = 2.

    Let's check our work:
    Dog's distance is 720(2) = 1440
    Fox's distance is 750(2) - 60 = 1,440
     

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