A water tank is empty. Anil needs to fill the tank with 2400 litres of water. Company A supplies water at a rate of 8 litres in 1 minute 40 seconds. Company B supplies water at a rate of 2.2 gallons per minute. 1 gallon = 4.54 litres Company A would take more time to fill the tank than Company B would take to fill the tank. How much more time? Give your answer in minutes correct to the nearest minute.

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A water tank is empty - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 3

Question 5

A water tank is empty. Anil needs to fill the tank with 2400 litres of water. Company A supplies water at a rate of 8 litres in 1 minute 40 seconds. Company B suppl... show full transcript

Worked Solution & Example Answer:A water tank is empty - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 3

Step 1

Calculate the time taken by Company A to fill the tank

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Answer

Company A supplies water at a rate of 8 litres in 1 minute 40 seconds. First, convert 1 minute 40 seconds to minutes:

$1 \text{ min} + \frac{40 \text{ sec}}{60} = 1 + \frac{2}{3} = \frac{5}{3} \text{ min}$

Next, determine the flow rate in litres per minute:

$\text{Flow rate for Company A} = \frac{8 \text{ litres}}{\frac{5}{3} \text{ min}} = 8 \times \frac{3}{5} = 4.8 \text{ litres/min}$

To find out the time taken to fill the tank:

$\text{Time for Company A} = \frac{2400 \text{ litres}}{4.8 \text{ litres/min}} = 500 \text{ minutes}$

Step 2

Calculate the time taken by Company B to fill the tank

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Answer

Company B supplies 2.2 gallons per minute. First, convert gallons to litres:

$2.2 \text{ gallons} \times 4.54 \text{ litres/gallon} = 10.008 \text{ litres/min}$

Now, calculate the time taken to fill the tank:

$\text{Time for Company B} = \frac{2400 \text{ litres}}{10.008 \text{ litres/min}} \approx 239.7 \text{ minutes}$

Step 3

Determine the difference in time between Company A and Company B

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Now, find how much more time Company A takes compared to Company B:

$\text{Difference} = 500 \text{ minutes} - 239.7 \text{ minutes} = 260.3 \text{ minutes}$

Rounding to the nearest minute, Company A takes approximately 260 minutes more than Company B.

A water tank is empty - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 3

Worked Solution & Example Answer:A water tank is empty - Edexcel - GCSE Maths - Question 5 - 2021 - Paper 3

Calculate the time taken by Company A to fill the tank

Calculate the time taken by Company B to fill the tank

Determine the difference in time between Company A and Company B

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