Math

QuestionA person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

Studdy Solution

STEP 1

Assumptions1. A person requires one quart of water for every two miles traveled on foot. . The distance to be traveled is15 kilometers.
3. We need to convert the distance from kilometers to miles, and the water volume from quarts to liters. 4.1 mile is approximately1.60934 kilometers. 5.1 quart is approximately0.946353 liters.

STEP 2

First, we need to convert the distance from kilometers to miles. We can do this by dividing the distance in kilometers by the conversion factor.
Miles=Kilometers/ConversionfactorMiles = Kilometers / Conversion\, factor

STEP 3

Now, plug in the given values for the distance and the conversion factor to calculate the distance in miles.
Miles=15/1.60934Miles =15 /1.60934

STEP 4

Calculate the distance in miles.
Miles=15/1.609349.32Miles =15 /1.60934 \approx9.32

STEP 5

Now that we have the distance in miles, we can find the amount of water required in quarts. This can be done by multiplying the distance in miles by the rate of water consumption (1 quart per2 miles).
Quarts=Milestimes(1quart/2miles)Quarts = Miles \\times (1\, quart /2\, miles)

STEP 6

Plug in the values for the distance in miles and the rate of water consumption to calculate the amount of water required in quarts.
Quarts=9.32times(1/2)Quarts =9.32 \\times (1 /2)

STEP 7

Calculate the amount of water required in quarts.
Quarts=9.32times(1/2)4.66Quarts =9.32 \\times (1 /2) \approx4.66

STEP 8

Now that we have the amount of water required in quarts, we can convert this to liters. We can do this by multiplying the amount in quarts by the conversion factor.
Liters=QuartstimesConversionfactorLiters = Quarts \\times Conversion\, factor

STEP 9

Plug in the values for the amount in quarts and the conversion factor to calculate the amount of water required in liters.
Liters=4.66times.946353Liters =4.66 \\times.946353

STEP 10

Calculate the amount of water required in liters.
Liters=4.66times0.9463534.41Liters =4.66 \\times0.946353 \approx4.41The person would require approximately4.41 liters of water to walk15 kilometers in Death Valley.

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