Travelling by Train
Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?
Age
14 to 16
Challenge level
Stephen leaves Middlesbrough by train at 09:00. The train travels the first 27 km at 96 km per hour. It then stops at Darlington for 3 minutes, before travelling the remaining 29 km to Durham at the same speed.
At what time does Stephen arrive in Durham?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Answer: 09:38
Middlesborough 09:00
27 km at 96 km/h
Darlington 3 minutes
29 km at 96 km/h
Durham
Total 56 km at 96 km/h
Time = 56$\div$96 = $\frac7{12}$ hours = 35 minutes
35 minutes + 3 minutes at Darlington = 38 minutes