Question:
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
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Multiply the ratio component by the unit value ($x$) to find the actual speed.
Updated On: Jun 26, 2026
- 70 kmph
- 75 kmph
- 84 kmph
- 87.5 kmph
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Speed $= \frac{Distance}{Time}$.
Step 2: Analysis
Speed of the second train $= \frac{400}{4} = 100$ kmph.
Step 3: Calculation
Ratio of speeds $= 7 : 8$. Let speeds be $7x$ and $8x$. $8x = 100 \implies x = \frac{100}{8} = 12.5$. Speed of the first train $= 7x = 7 \times 12.5 = 87.5$ kmph.
Step 4: Conclusion
Hence, the speed of the first train is 87.5 kmph. Final Answer: (D)
Speed $= \frac{Distance}{Time}$.
Step 2: Analysis
Speed of the second train $= \frac{400}{4} = 100$ kmph.
Step 3: Calculation
Ratio of speeds $= 7 : 8$. Let speeds be $7x$ and $8x$. $8x = 100 \implies x = \frac{100}{8} = 12.5$. Speed of the first train $= 7x = 7 \times 12.5 = 87.5$ kmph.
Step 4: Conclusion
Hence, the speed of the first train is 87.5 kmph. Final Answer: (D)
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