Higher June 2025 Paper 2 Q13
13 Emma and Chan each drive 154 miles from A to B.
Emma drives the whole way at an average speed of 56 miles per hour.
Chan drives
85 miles at an average speed of 50 miles per hour
and then
the rest of the way at an average speed of 60 miles per hour.
Who takes less time, Emma or Chan?
Show working to support your answer. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: compares total times | ||
| \(154 \div 56\) or 2.75 or 2 h 45 min | M1 | oe time for Emma eg 165 |
| \(85 \div 50\) or 1.7 or 1 h 42 min | M1 | oe time for first 85 miles for Chan eg 102 |
| \(85 \div 50 + (154 - 85) \div 60\) or \(1.7 + 1.15\) or 2.85 or 2 h 51 min | M1dep | oe total time for Chan eg 171 dep on 2nd M1 |
| 2.75 and 2.85 and Emma or 2 h 45 min and 2 h 51 min and Emma | A1 | oe two correct times in comparable form eg 165 and 171 and Emma |
| Alternative method 2: compares average speeds | ||
| \(85 \div 50\) or 1.7 or 1 h 42 min | M1 | oe time for first 85 miles for Chan eg 102 |
| \(85 \div 50 + (154 - 85) \div 60\) or \(1.7 + 1.15\) or 2.85 or 2 h 51 min | M1dep | oe total time for Chan eg 171 |
| \(154 \div\) their 2.85 or [54, 54.04] | M1dep | oe calculation for Chan’s average speed |
| [54, 54.04] and Emma | A1 | |
Additional guidance
Up to M3 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts
Ignore attempts to find the difference in times or speeds after A1 awarded