Water flows through a pipe at a rate of 10 cups every 5.5 hours. Express this rate of flow in gallons per week. Round your answer to the nearest tenth.

Note: you must use these exact conversion factors to get this question right.

### Volume
- 1 cup (cup) = 8 fluid ounces (fl oz)
- 1 pint (pt) = 2 cups (cups)
- 1 quart (qt) = 2 pints (pt)
- 1 gallon (gal) = 4 quarts (qt)
- 1 cubic foot (ft³) = 7.481 gallons (gal)
- 1 liter (L) = 1000 milliliters (ml)
- 1 cubic meter (m³) = 1000 liters (L)
- 1 gallon (gal) = 3.785 liters (L)
- 1 fluid ounce (fl oz) = 29.574 milliliters (ml)

### Time
- 1 minute (min) = 60 seconds (sec)
- 1 hour (hr) = 60 minutes (min)
- 1 day (day) = 24 hours (hr)
- 1 week (week) = 7 days (days)
- 1 month (month) = 30 days (days)
- 1 year (year) = 365 days (days)

Question

High School

Answer :

duttakoushik094 duttakoushik094 · Answer 1 · 2024-12-05T18:53:50-05:00

The rate of flow is approximately 19.0925 gallons per week (rounded to four decimal places).

Here, we have to express the rate of flow in gallons per week, we can follow these steps:

Convert cups to gallons:

1 cup (cup) is equal to 8 fluid ounces (fl oz).

1 gallon (gal) is equal to 128 fluid ounces (fl oz).

So, to convert cups to gallons, we can use the following conversion factor:

1 cup = 8/128 gallons

1 cup = 1/16 gallon

Calculate the rate per hour:

The rate is given as 10 cups every 5.5 hours.

To find the rate per hour, divide the number of cups by the number of hours:

Rate per hour = 10 cups / 5.5 hours = 20/11 cups per hour

Calculate the rate per day:

Since there are 24 hours in a day, you can calculate the rate per day by multiplying the rate per hour by the number of hours in a day:

Rate per day = (20/11 cups per hour) × 24 hours/day ≈ 43.64 cups per day (rounded to two decimal places)

Convert cups to gallons per day:

Use the conversion factor (1 cup = 1/16 gallon) to convert cups to gallons:

Rate per day ≈ (43.64 cups/day) × (1/16 gallon/cup) ≈ 2.7275 gallons per day (rounded to four decimal places)

Calculate the rate per week:

There are 7 days in a week.

To find the rate per week, multiply the rate per day by the number of days in a week:

Rate per week ≈ (2.7275 gallons/day) × 7 days/week ≈ 19.0925 gallons per week (rounded to four decimal places)

So, the rate of flow is approximately 19.0925 gallons per week (rounded to four decimal places).

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