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Mathematics

The given table shows the distance covered and the time taken by a train moving at a uniform speed along a straight track.

Distance (in m)Time (in sec)
602
90x
y5

The values of x and y are :

  1. x = 4, y = 150

  2. x = 3, y = 100

  3. x = 4, y = 100

  4. x = 3, y = 150

Ratio Proportion

ICSE 2024

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Answer

Speed = DistanceTime\dfrac{\text{Distance}}{\text{Time}}

Average speed = 602\dfrac{60}{2} = 30 km/hr

⇒90x=30⇒x=9030=3.⇒y5=30⇒y=30×5=150.\Rightarrow \dfrac{90}{x} = 30 \\[1em] \Rightarrow x = \dfrac{90}{30} = 3. \\[1em] \phantom{\Rightarrow} \dfrac{y}{5} = 30 \\[1em] \Rightarrow y = 30 \times 5 = 150.

Hence, Option 4 is the correct option.

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