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Question : In a 500-metre race, the ratio of speeds of two runners P and Q is $3:5$. P has a start of 200 metres, then the distance between P and Q at the finish of the race is:

Option 1: P wins by 100 metres

Option 2: Both reach at the same time

Option 3: Q wins by 100 metres

Option 4: Q wins by 50 metres


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: Both reach at the same time


Solution : Given: In a 500-metre race, the ratio of speeds of two runners P and Q is $3:5$ and P has a start of 200 metres.
Distance to be covered by A = (500 – 200) = 300 metres
Time taken by A to cover 300 metres = $\frac{300}{3}=100$ time units
Distance covered by B in 100 time units,
⇒ (100 × 5) = 500 metres
Hence, the correct answer is 'Both reach at the same time'.

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