4MA0 Foundation June 2014 Paper 2R Q14
14 Here is part of a timetable for the Paris to Montpellier express train service.
| Paris | 06 07 | 10 07 | 12 07 | 18 07 | 20 07 |
|---|---|---|---|---|---|
| Valence | 08 22 | 12 24 | 14 24 | 20 24 | 22 24 |
| Nimes | 09 09 | 13 05 | 15 05 | 21 05 | 23 05 |
| Montpellier | 09 37 | 13 34 | 15 34 | 21 34 | 23 34 |
(a) At what time should the 12 07 from Paris get to Nimes? (1)
One day, the 06 07 from Paris arrived at Montpellier \(\dfrac{3}{4}\) of an hour late.
(b) At what time did this train arrive at Montpellier? (2)
(c) Work out how long it should take the 20 07 train from Paris to get to Montpellier. (1)
The average speed of the 20 07 train from Paris is 224 km/h.
(d) Work out the distance this train travels from Paris to Montpellier. (3)
| Scheme | Marks |
|---|---|
| 1505 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 0937 + 45 | M1 |
| 1022 | A1 |
| (2) |
Notes
M1: 0937 + 45
| Scheme | Marks |
|---|---|
| 3 h 27 min | B1 |
| (1) |
Notes
B1: 3h 27 min (accept 207 min)
| Scheme | Marks |
|---|---|
| 3.45 or \(3\dfrac{27}{60}\) | M1 |
| \(\text{“}3\dfrac{27}{60}\text{”} \times 224\) or “3.45” × 224 | M1 |
| 772.8 | A1 |
| (3) | |
| (Total 7 marks) |
Notes
M1: for correctly converting ‘3h 27m’ into a decimal (e.g. 3.45)
For '3h 27m' there must be some indication that this is the elapsed time from 20:07 to 23:34 or ft from (c)
M1: (independent)
allow '3h 27m' × 224 or 3.27 × 224
For '3h 27m' there must be some indication that this is the elapsed time from 20:07 to 23:34 or ft from (c)
NB. 224 × 20 07 gets M0
A1: accept 773