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Dennis_Churaev [7]
3 years ago
14

two runners, one averaging 9 miles per hour and the other averaging 6 miles per hour, start at the same place and run along the

same trail. the slower runner arrivers at the end of the trail half hour after the faster runner. how far did each person run?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0
First, set up variables for each runner to calculate the time:
x = faster runner
x + 0.5 = slower runner

Next, set up an equation:
9x = 6(x + 0.5)
9x = 6x + 3
3x = 3
x = 1

Since both of the runners are starting at the same place and running on the same trail, they will run the same distance. They both ran 1 mile.
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alisha [4.7K]

Step-by-step explanation:

√(4-3x) = x

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2. shift all the terms to the right side

(minimise dealing with negative coefficient of x² terms to prevent careless mistakes)

0= x²+3x-4

no matter how you change the places of the terms, it will still be:

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for me I will be using the cross multiplication table that my calculator can help me with(gives me the solution but better to show the factorised form to prevent missing out method marks)

as such:

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you can substitute the values into a scientific calculator(that has the functions required) to quickly determine

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reason for such situation to happen:

remember in step 1 when we squared both sides of the equation, that is the reason for having to check for the correct X value. let me explain further

when we square numbers, we are potentially introducing another possible answer other than the correct answer intended for us to find as well as to match with the question.

for example:

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5 0
2 years ago
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Gnesinka [82]
When you are told to estimate, you should be able to do the problem in your head.
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So the answer is very nearly
3 <<<<< answer.

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