1MA0 Foundation November 2013 Paper 2 Q28
*28 Axel and Lethna are driving along a motorway.
They see a road sign.
| To Junction 8 30 miles 26 minutes |
The road sign shows the distance to Junction 8
It also shows the average time drivers will take to get to Junction 8
The speed limit on the motorway is 70 mph.
Lethna says,
‘We will have to drive faster than the speed limit to go 30 miles in 26 minutes.’
Is Lethna right?
You must show how you got your answer. (3)
| Answer | Mark | Notes |
|---|---|---|
| No with correct figure | 3 | M1 for a calculation which uses the Time × Speed = Distance relationship OR a conversion of units eg between hours & minutes or between mph & miles per min M1 for a calculation involving both of the above C1 for “no” with a correct calculation, with units, from working: 25.2 – 25.8 minutes, 30.1 – 30.8 miles, 69 – 69.3 mph Distance ÷ speed: 30 ÷ 70 (= 0.42 - 0.43); Distance ÷ time: 30 ÷ 26 (= 1.15…); Speed × time: = 70 × 26 (=1820 mins) Mph to miles/min 70 ÷ 60 (=1.16 - 1.17); Minutes to hours is 26 ÷ 60 (= 0.43…) NB 70 ÷ 26 × 30 as a single stage calculation gets 0 marks |
Notes
Corrected from the printed mark scheme: “1.16 - 1.67” for 70 ÷ 60, which is 1.166…