A night train leaves Warsaw at \(21\,47\) and arrives in Prague at \(06\,13\) the next morning. Work out the journey time in hours and minutes.

Assessment: Mathematics 0580 | Paper 3 Mock 01 | Calculator (Core) Subject: Mathematics - 0580

Question 1 Report

A night train leaves Warsaw at \(21\,47\) and arrives in Prague at \(06\,13\) the next morning.

Work out the journey time in hours and minutes.

Answer Details

The journey crosses midnight, so it is safest to split the time into the part before midnight and the part after it rather than subtracting the clock readings directly.

  1. From \(21\,47\) to \(24\,00\) is \(2\) h \(13\) min.
  2. From \(00\,00\) to \(06\,13\) is a further \(6\) h \(13\) min [M1].
  3. Add: \(2\) h \(13\) min \(+\) \(6\) h \(13\) min \(=8\) h \(26\) min [A1].

The journey time is \(8\) hours \(26\) minutes.

Subtracting \(21\,47\) from \(06\,13\) as if they were ordinary numbers gives a negative or nonsensical result, because clock time is not decimal. If you prefer a calculator, \(06\,13\) the next day is \(30.21\overline{6}\) hours after midnight of the first day and \(21\,47\) is \(21.78\overline{3}\) hours, and the difference \(8.4\overline{3}\) hours converts to \(8\) h \(26\) min since \(0.4\overline{3}\times 60=26\). Remember that \(8.43\) hours is not \(8\) h \(43\) min.

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning