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Allisa [31]
4 years ago
6

Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f

irst half, then decreased his speed to 4 km/h during the second half. Lenny hiked at a speed of 4 km/h during the first half, then increased his speed to 5 km/h in the second half. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?
Mathematics
1 answer:
Vilka [71]4 years ago
4 0

Answer:

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

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Answer:

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Step-by-step explanation:

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In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

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In which a_1 is the first term and d is the common difference.

First term is 9 common difference is -2

This means that a_1 = 9, d = -2

So, the nth term is given by:

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a_n = 9 + (n-1)(-2)

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To be honest, these answer choices are a bit baffling. The best answer in my opinion would be to do at least two of the three options given below.

  1. Place a price floor above the equilibrium.
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  3. Reduce current supply (reduce herd sizes).

Doing that should increase the prices.

Placing a floor above equilibrium will force the equilibrium to move upward, and with the reduce in supply from other countries, demand will shift toward the domestic producers. Without the demand shift, there simply would be an oversupply or surplus of dairy. Either the surplus is thrown away or its simply housed somewhere else (often at taxpayer expense).

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If you place a ceiling below equilibrium, then the price will go down to that ceiling value. That will be the highest price possible. This is the opposite of what the farmers want. It gets even worse when you increase milk imports (since supply goes up leading to further reduced prices). So that rules out choice A.

If you place a ceiling above equilibrium, then nothing happens. The price stays at equilibrium. Nothing too exciting here. This rules out choice B (though I agree with the "decrease imports" portion).

If you set a floor below equilibrium, then nothing happens similar to the last paragraph above. The price stays where it is. We can rule out choice C. Reducing herd sizes will reduce supply so that could maybe increase prices.

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