The ratio between speeds of two trains is 5:3. If the first train runs 350 km…
2025
The ratio between speeds of two trains is 5:3. If the first train runs 350 km in 2 hours, then what is the speed of the second train (in km/h)?
Answer: B. 105 — Concept: When two moving bodies (like two trains) travel at speeds in a given ratio, and one body's own speed is known from its distance and time, the other…
- A.
150
- B.
105
- C.
90
- D.
295
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Correct answer: B
Concept: When two moving bodies (like two trains) travel at speeds in a given ratio, and one body's own speed is known from its distance and time, the other body's speed is found by scaling the known speed using the ratio: multiply by (the other body's ratio part ÷ this body's ratio part).
The first train's speed is found directly from its own distance and time: 350 km ÷ 2 h = 175 km/h.
The two trains' speeds are in the ratio 5 : 3 — the first train's speed corresponds to the 5 part and the second train's speed corresponds to the 3 part.
So the second train's speed = 175 × (3/5) = 105 km/h.
Cross-check: 175 : 105 simplifies, dividing both by 35, to 5 : 3 — exactly the given ratio, confirming the scaling is correct.
So the speed of the second train is 105 km/h.