Canine Agility Course
My aunt and uncle have a Labrador Retriever named Tessa. Tessa is practicing with a basic agility course set up in the backyard.
She clears obstacle in 10.1 seconds, and then passes obstacle in 6.5 seconds.
She passes obstacle and in the same amount of time, passes obstacle in 8.3 seconds, and finishes the course.
If the total course took exactly 30.0 seconds to pass, what is ?
The answer is 5.75.
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1 solution
We are given most of the times and the total time, so we first need to add up the values and subtract them from the total.
1 0 . 1 + 6 . 5 + 8 . 3 = 2 4 . 9 , and 3 0 . 0 − 2 4 . 9 = 5 . 1 , so γ + θ must add up to 5.1. Since they are equal, we can just divide 5.1 in half to get 2.55.
Careful, though! 2.55 is not our answer, because the problem is asking for χ - θ , not just θ (or γ ).
8 . 3 − 2 . 5 5 = 5 . 7 5 , and that is indeed the correct answer.