Numeracy Intermediate November 2022 Unit 2 Q4
4. Lena flew from Havana Airport in Cuba to Gatwick Airport in the UK.
She then drove home from Gatwick Airport.
(a)
When it is 09:40 in Havana, it is 14:40 on the same day in Gatwick.
It took 9 hours 15 minutes to fly from Havana to Gatwick.
Lena’s flight left Havana on Monday at 17:40 local Havana time.
On what day and at what time did this flight arrive in Gatwick?
Give your answer in UK time. [4]
Day ………………………… Time ……………
(b)
Lena lives 80 miles from Gatwick Airport.
The first 20 miles of Lena’s journey home from the airport took 1 hour.
The average speed for the remaining 60 miles of her journey was 40 mph.
(i) Calculate the time taken for the remaining part of her journey. [2]
(ii) Calculate the average speed, in mph, of Lena’s 80-mile journey home from the airport. [3]
Average speed ………………………… mph
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (Time difference) 5 hours | B1 | Seen or implied | ||||||||||||
| 17:40 + 9 hours 15 minutes + 5 hours | M1 | FT adding ‘their 5 hours’, provided ‘their 5 hours’ ≠ 0 or negative May be seen in stages | ||||||||||||
| Tuesday 07(:)55 or Tuesday (0)7(:)55 a.m. | A2 | Answer space takes precedence unless unambiguously time in the morning from working A1 for the correct time, 07(:)55 or (0)7(:)55 a.m. or ‘Tuesday 7(:)55’ or ‘Tuesday (0)7(:)55 p.m.’ Special cases and/or implied 5 hours: provided not from incorrect working
| ||||||||||||
| Scheme | Marks | Comments |
|---|---|---|
| (i) (Time for remaining 60 miles is) 60 ÷ 40 | M1 | |
| 1 hour 30 minutes or 1.5 (hours) or 90 (minutes) | A1 | Mark final answer, ignore continuation to give the total time, 2.5 hours If units are given they must be correct A0 for 1.3(0) (hours) or 1 30 (hours) or 1:30 (hours) or 1 hour 5 minutes |
| (ii) \(\dfrac{80}{1\text{(hrs)} + 1.5\text{(hrs)}}\) or \(\dfrac{80}{60\text{ (mins)} + 90\text{ (mins)}}\) | M1 | FT from (b)(i) the final answer for ‘their time’ Within appropriate calculation allow
|
| \(\dfrac{80}{2.5}\) or \(\dfrac{80 \times 60}{150}\) | m1 | Time notation must be correct Only FT if ‘their time’ from (b)(i) is not a whole number of hours |
| 32 (mph) | A1 | CAO, not from incorrect working Answer space takes precedence |