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11 Mar 2026, 09:23
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A traveler journeys from Marseille to Geneva, covering 180 km by ferry, 360 km by train, and 30 km by horse carriage. The entire journey takes 15 hours. The speed of the train is three times the speed of the horse carriage and 3/2 times the speed of the ferry. What is the speed of the train?
A. 36 km/h
B. 40 km/h
C. 48 km/h
D. 54 km/h
E. 60 km/h
A. 36 km/h
B. 40 km/h
C. 48 km/h
D. 54 km/h
E. 60 km/h
11 Mar 2026, 09:23
Kudos
Bookmarks
Official Solution:
A traveler journeys from Marseille to Geneva, covering 180 km by ferry, 360 km by train, and 30 km by horse carriage. The entire journey takes 15 hours. The speed of the train is three times the speed of the horse carriage and 3/2 times the speed of the ferry. What is the speed of the train?
A. 36 km/h
B. 40 km/h
C. 48 km/h
D. 54 km/h
E. 60 km/h
Let the train speed be \(t\) km/h.
Then horse carriage speed \(= \frac{t}{3}\), and ferry speed \(= \frac{2}{3} * t\).
Total time:
\(\frac{180}{(2/3) * t} + \frac{360}{t} + \frac{30}{t/3} = 15\).
\(\frac{270}{t} + \frac{360}{t} + \frac{90}{t} = 15\).
\(t = 48\).
Answer: C
A traveler journeys from Marseille to Geneva, covering 180 km by ferry, 360 km by train, and 30 km by horse carriage. The entire journey takes 15 hours. The speed of the train is three times the speed of the horse carriage and 3/2 times the speed of the ferry. What is the speed of the train?
A. 36 km/h
B. 40 km/h
C. 48 km/h
D. 54 km/h
E. 60 km/h
Let the train speed be \(t\) km/h.
Then horse carriage speed \(= \frac{t}{3}\), and ferry speed \(= \frac{2}{3} * t\).
Total time:
\(\frac{180}{(2/3) * t} + \frac{360}{t} + \frac{30}{t/3} = 15\).
\(\frac{270}{t} + \frac{360}{t} + \frac{90}{t} = 15\).
\(t = 48\).
Answer: C
