Thinking Skills
A slow train leaves Millfield at 7:00 am and reaches Braxton at 1:00 pm the same day. An express train uses t…
Question 1 · Multiple choice
Question
A slow train leaves Millfield at 7:00 am and reaches Braxton at 1:00 pm the same day. An express train uses the same route at four times the average speed of the slow train. On another day the express leaves Millfield later but still arrives in Braxton at 1:00 pm.
Both trains run at constant speed without stopping.
Options
At what time did the express train leave Millfield?
- A.10:00 am
- B.11:00 am
- C.11:30 am
- D.12:00 pm
Correct answer
Explanation
Step 1: Find how long the slow train takes
The slow train leaves Millfield at 7:00 am and arrives in Braxton at 1:00 pm.
Slow train:
7:00 am ──────────────────────────────────▶ 1:00 pm
←───────────── 6 hours ───────────→
Journey time for slow train = 6 hours
Step 2: Find how long the express train takes
The express travels at 4 times the speed of the slow train.
Key rule: when speed multiplies by 4, journey time divides by 4 (they are inverses — more speed means less time for the same distance).
Express journey time = 6 hours ÷ 4 = 1.5 hours = 1 hour 30 minutes
Step 3: Work out when the express must have left
The express arrives at 1:00 pm and the journey takes 1 hour 30 minutes. Count backwards:
Express:
11:30 am ──────────────────────────────────▶ 1:00 pm
←────── 1 hour 30 minutes ────────→
1:00 pm − 1 hour = 12:00 pm
12:00 pm − 30 minutes = 11:30 am
The express left Millfield at 11:30 am.
Answer: 11:30 am