Foundation November 2021 Paper 2 Q13
13 Trains leave Agra station to go to New Delhi every 40 minutes.
Trains leave Agra station to go to Mumbai every 48 minutes.
At 6 am a train leaves Agra station to go to New Delhi and at the same time a train leaves Agra station to go to Mumbai.
Work out the next time a train leaves Agra station to go to New Delhi and at the same time a train leaves Agra station to go to Mumbai.
(3)
| Scheme | Marks |
|---|---|
| 40, 80, 120, 160, 200, 240 48, 96, 144, 192, 240 or 40, 1h 20, 2h, 2h 40, 3h 20, 4h 48, 1h 36, 2h 24, 3h 12, 4h or 6 40, 7 20, 8 00, 8 40, 9 20, 10 00 6 48, 7 36, 8 24, 9 12, 10 00 or [(40 =) 8 × 5 and (48 =) 8 × 6 oe eg 40 = 2×2×2×5 and 48 = 2×2×2×2×3 (could be numbers on ends of factor trees)] | M1 |
| (LCM =) 8 × 30 (= 240) or 4 or 10 (am) shown in lists but not given as answer | A1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 10 00 (am) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for listing multiples of 40 and 48 with at least 3 numbers in each list.
(Multiples could be given in minutes or in hours and minutes)
Or for listing times after 6 am for both trains, with at least 2 times in each list (allow one ft error)[mark until you have seen 2 correct times with only one ft error]
A1: for 240 (minutes) or 4 (hours)
A1: oe