Question:

In a 700 m race, Amit reaches the finish point in 20 seconds and Rahul reaches in 25 seconds. Amit beats Rahul by a distance of:

Updated On: Nov 15, 2024
  • 120 m
  • 150 m
  • 140 m
  • 100 m
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The Correct Option is C

Solution and Explanation

Amit completes the race in 20 seconds, so his speed is:

Speed of Amit = \( \frac{\text{Distance}}{\text{Time}} = \frac{700}{20} = 35 \, \text{m/s} \).

Rahul completes the race in 25 seconds, so his speed is:

Speed of Rahul = \( \frac{\text{Distance}}{\text{Time}} = \frac{700}{25} = 28 \, \text{m/s} \).

In 20 seconds, Rahul covers:

Distance covered by Rahul = Speed of Rahul \(\times\) Time = \( 28 \times 20 = 560 \, \text{m} \).

The distance by which Amit beats Rahul is:

Distance = \( 700 - 560 = 140 \, \text{m} \).

Thus, Amit beats Rahul by 140 m.

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