1MA0 Foundation November 2012 Paper 2 Q23
23
\(A\), \(B\) and \(C\) are 3 service stations on a motorway.
\(AB = 25\) miles
\(BC = 25\) miles
Aysha drives along the motorway from \(A\) to \(C\).
Aysha drives at an average speed of 50 mph from \(A\) to \(B\).
She drives at an average speed of 60 mph from \(B\) to \(C\).
Work out the difference in the time Aysha takes to drive from \(A\) to \(B\) and the time Aysha takes to drive from \(B\) to \(C\).
Give your answer in minutes. (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(25 \div 50 = 0.5\) h = 30 min \(25 \div 60 = 0.41\dot{6}\) h = 25 min | 5 | 3 | M1 for \(25 \div 50\) or \(\frac{60}{50} \times 25\) or 30 (min) or 0.5(h) or \(25 \div 60\) or \(\frac{60}{60} \times 25\) or 25 (min) or 0.41(6)(h) M1(dep) ‘0.5’ − ‘0.41(6)’ or ‘30’ − ‘25’ A1 cao OR M1 for \(60 \div 25\) (= 2.4) and \(60 \div\) “2.4” or \(50 \div 25\) (= 2) and \(60 \div\) “2” M1(dep) for ‘30’ − ‘25’ A1 cao |