In a km race, even if B starts 20 seconds ahead, A wins by 40 m. However, if B starts 25 seconds ahead they finish together. What are their respective speeds in m/sec?
Correct Answer: |
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C) A-10 m/sec, B- 8 m/sec |
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Description for Correct answer:
Even if B starts 20 seconds ahead, A wins by 40 m.
However, B starts 25 seconds ahead, they finish the race together.
Therefore, in 5 seconds, B runs 40m.
Therefore, speed of B = \( \Large \frac{40}{5} \) = 8 m/sec.
B will take \( \Large \frac{1000}{8} \) = 125 seconds to complete the 1000 meters.
Since, A can allow B to start 25 seconds ahead in the race, A will take 125 - 25 = 100 seconds.
Therefore, A's speed = \( \Large \frac{1000}{100} \) = 10 m/sec.
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