SSC CGL Exam > SSC CGL Questions > The speeds of P and Q are 5 m/s and 8 m/s, re...
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The speeds of P and Q are 5 m/s and 8 m/s, respectively. By what distance will Q beat P in a 1000 meters race?
- a)375 meters
- b)500 meters
- c)725 meters
- d)750 meters
Correct answer is option 'A'. Can you explain this answer?
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The speeds of P and Q are 5 m/s and 8 m/s, respectively. By what dista...
Hence, Option A is correct.
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The speeds of P and Q are 5 m/s and 8 m/s, respectively. By what dista...
Explanation:
Relative Speed:
- Q's speed relative to P = 8 m/s - 5 m/s = 3 m/s
Time taken to complete the race:
- Time taken by P to complete the race = 1000 meters / 5 m/s = 200 seconds
- Time taken by Q to complete the race = 1000 meters / 8 m/s = 125 seconds
Distance Q beats P by:
- Q beats P by the time difference between them, which is 200 seconds - 125 seconds = 75 seconds
- Distance Q beats P by = Relative Speed * Time = 3 m/s * 75 seconds = 225 meters
Therefore, Q will beat P by 225 meters in a 1000 meters race. Hence, option A (375 meters) is the correct answer.
Relative Speed:
- Q's speed relative to P = 8 m/s - 5 m/s = 3 m/s
Time taken to complete the race:
- Time taken by P to complete the race = 1000 meters / 5 m/s = 200 seconds
- Time taken by Q to complete the race = 1000 meters / 8 m/s = 125 seconds
Distance Q beats P by:
- Q beats P by the time difference between them, which is 200 seconds - 125 seconds = 75 seconds
- Distance Q beats P by = Relative Speed * Time = 3 m/s * 75 seconds = 225 meters
Therefore, Q will beat P by 225 meters in a 1000 meters race. Hence, option A (375 meters) is the correct answer.
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The speeds of P and Q are 5 m/s and 8 m/s, respectively. By what distance will Q beat P in a 1000 meters race?a)375 metersb)500 metersc)725 metersd)750 metersCorrect answer is option 'A'. Can you explain this answer?
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