Higher November 2021 Paper 3 Q4
4 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. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 260 | P1 | conversion to common units of capacity eg \(2.2 \times 4.54\ (= 9.988)\) or \(8 \div 4.54\ (= 1.76...)\) OR for Company A \(2400 \div 4.54\ (= 528.63...)\) OR \(2400 \div 8\ (= 300)\) OR a rate per minute \(8 \div [\text{time for Company A}]\ (= 4.8\ldots)\) oe |
| P1 | for a complete process to find the time for company A or company B in minutes. eg in litres Company A \(2400 \div \text{``}4.8\ldots\text{''}\ (= 500)\) or \(\text{``}300\text{''} \times [1\text{ min }40\text{ sec}]\ (= 500)\) or Company B \(2400 \div \text{``}9.988\text{''}\ (= 240.28...)\) OR eg in gallons Company A \(\text{``}528.63..\text{''} \div (\text{``}1.76...\text{''} \div [1\text{ min }40\text{ sec}])\ (= 500)\) or Company B \(\text{``}528.63\ldots\text{''} \div 2.2\ (= 240.28\ldots)\) | |
| P1 | for complete processes to find the times for both company A and company B in minutes. Company A eg in litres \(2400 \div \text{``}4.8\ldots\text{''}\ (= 500)\) or \(\text{``}300\text{''} \times [1\text{ min }40\text{ sec}]\ (= 500)\) or in gallons \(\text{``}528.63..\text{''} \div (\text{``}1.76.\,..\text{''} \div [1\text{ min }40\text{ sec}])\ (= 500)\) AND Company B eg in litres \(2400 \div \text{``}9.988\text{''}\ (= 240.28...)\) or in gallons \(\text{``}528.63\ldots\text{''} \div 2.2\ (= 240.28\ldots)\) | |
| A1 | for an answer in the range 259 to 260 |
Additional guidance
Results of calculations may be truncated or rounded.
[time for Company A] could be 1 min 40 sec or 1.66… or 1.6 or 1.40 etc as long as it is clear it relates to 1 min 40 sec
If the answer is given within the range but then rounded incorrectly award full marks.