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Water flows through a pipe at a rate of 75 liters per day. Express this rate of flow in cups per

hour. Round your answer to the nearest tenth.
*Note: you must use these exact conversion factors to get this question right.
Volume
Time
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 minute (min) = 60 seconds (sec)
1 hour (hr) = 60 minutes (min)
1 day (day) = 24 hours (hr)
1 week (week) = 7 days (days)

2 Answers

1 vote

Answer: Rounded to the nearest tenth, the rate of flow in cups per hour is approximately 13.2 cup/hour.

Step-by-step explanation: To convert the rate of flow from liters per day to cups per hour, we need to perform a series of conversions using the given conversion factors:

1. Start with the rate of flow in liters per day: 75 liters/day.

2. Convert liters to cups: 1 liter is equivalent to 4.22675 cups. Therefore, 75 liters is equal to 75 * 4.22675 = 316.95125 cups.

3. Convert days to hours: 1 day is equal to 24 hours. Therefore, we divide 316.95125 cups by 24 hours to get the rate of flow in cups per hour.

4. Calculate the rate of flow in cups per hour: 316.95125 cups / 24 hours = 13.206 cup/hour.

I hope this explanation helps!

User Chris Neitzer
by
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4 votes

Explanation:

To convert the rate of flow from liters per day to cups per hour, we can use the following conversion factors:

1 liter (L) = 33.814 fluid ounces (fl oz)

1 cup (cup) = 8 fluid ounces (fl oz)

1 hour (hr) = 60 minutes (min)

1 day (day) = 24 hours (hr)

First, let's convert liters to fluid ounces:

75 liters * 33.814 fl oz/L = 2536.55 fl oz

Next, let's convert fluid ounces to cups:

2536.55 fl oz * (1 cup/8 fl oz) = 317.07 cups

Finally, let's convert days to hours:

1 day * 24 hr/day = 24 hours

Now, let's calculate the rate of flow in cups per hour:

317.07 cups / 24 hours = 13.21 cups/hour

Rounding to the nearest tenth, the rate of flow is approximately 13.2 cups per hour.

User Martin CR
by
6.8k points