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2 A hose fills a
10L bucket in 20 seconds. What is the rate of flow in litres per hour?
A 0.0001
B 30
C 1800
D 7200

$2$ A hose fills a $10 \mathrm{~L}$ bucket in $20$ seconds. What is the rate of flow in litres per hour? $\newline$ A $0$ . $0001$ $\newline$ B $30$ $\newline$ C $1800$ $\newline$ D $7200$

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Exponential growth and decay: word problems

Full solution

Q.

2

A hose fills a

10 \mathrm{~L}

bucket in

20

seconds. What is the rate of flow in litres per hour?

\newline

A

0

.

0001

\newline

B

30

\newline

C

1800

\newline

D

7200

Calculate Flow Rate: First, we need to determine the flow rate in liters per second. To do this, we divide the volume of the bucket by the time it takes to fill it. Flow rate (in liters/second) = $\frac{\text{Volume of bucket (in liters)}}{\text{Time to fill (in seconds)}}$
Perform Calculation: Now we perform the calculation using the given values. $\newline$ Flow rate = $10$ liters / $20$ seconds = $0.5$ liters/second
Convert to Liters per Hour: Next, we need to convert the flow rate from liters per second to liters per hour. $\newline$ There are $3600$ seconds in an hour, so we multiply the flow rate by $3600$ . $\newline$ Flow rate (in liters/hour) = Flow rate (in liters/second) $\times 3600$ seconds/hour
Final Flow Rate Calculation: Now we perform the calculation to find the flow rate in liters per hour. $\newline$ Flow rate = $0.5 \, \text{liters/second} \times 3600 \, \text{seconds/hour} = 1800 \, \text{liters/hour}$

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