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A water tank is empty - Edexcel - GCSE Maths - Question 7 - 2021 - Paper 3
Question 7
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 7 - 2021 - Paper 3
Step 1
Calculate time taken by Company A to fill the tank
Answer
Company A supplies 8 litres in 1 minute and 40 seconds. Converting 1 minute and 40 seconds to minutes gives us:
1 minute + rac{40}{60} ext{ minutes} = 1 + rac{2}{3} ext{ minutes} = rac{5}{3} ext{ minutes}
To find how long it takes to fill 2400 litres, we can first find the number of 8-litre batches in 2400 litres:
Number of batches = \frac{2400}{8} = 300. Time to fill = 300 \times \frac{5}{3} = 500 ext{ minutes}.
Step 2
Calculate time taken by Company B to fill the tank
Answer
Company B supplies water at a rate of 2.2 gallons per minute. First, convert gallons to litres:
1 gallon = 4.54 litres
Thus, 2.2 gallons = 2.2 \times 4.54 = 10.008 ext{ litres per minute}.
Now, to find how long it takes Company B to fill 2400 litres:
Time = \frac{2400}{10.008} \approx 239.69 ext{ minutes}.
Step 3