Foundation June 2025 Paper 1R Q22
22 A bus travels a distance of 1262 km from Beijing to Shanghai.
The bus takes \(17\dfrac{1}{2}\) hours.
(a) Work out the average speed of the bus.
Give your answer, in km/h, correct to the nearest whole number. (2)
Give your answer, in km/h, correct to the nearest whole number. (2)
(b) Change a speed of \(50x\) metres per second to a speed in kilometres per hour. (3)
| Scheme | Marks |
|---|---|
| 1262 ÷ 17.5 oe | M1 |
| 72 | A1 |
| (2) |
Notes
M1: 1262 ÷ their time
their time may be an incorrect conversion to a decimal time eg 17.3 or from an attempt at converting to minutes eg 1050
A1: accept 72.1 or 72.11...
| Scheme | Marks |
|---|---|
\(50x \div 1000\) (= \(0.05x\)) oe or \(50x \times 60 \times 60\) (= \(180\,000x\)) oe or \(50x \div \dfrac{1}{3600}\) (= \(180\,000x\)) oe or \(50x \div 1000 \times 60\) (= \(3x\)) or \(\dfrac{3600}{1000}\) or \(\dfrac{18}{5}\) or 3.6 or \(\dfrac{1000}{3600}\) or \(\dfrac{5}{18}\) or 0.277(77…) | M1 |
eg \(\dfrac{50x \times 60 \times 60}{1000}\) oe or \(50x \times 3.6\) oe or \(50x \div \dfrac{1000}{3600}\) oe or 180 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(180x\) | A1 |
| (3) | |
| (5 marks) |
Notes
M1: Condone omission of \(x\) for this mark
M1: for a complete method including \(x\)
or for an answer of 180