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UPSC 2005: Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul’s dog runs at a speed of 60 metre/minute and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?
(a)600 metres
(b)750 metres
(c)980 metres
(d)1200 metres
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Not attemptedCorrect Answer: (d) 1200 metres
When Rahul starts, Aryan is 5 min × 40 m / min = 200 m ahead. Rahul gains on him at the relative speed 50 – 40 = 10 m / min, so he catches Aryan after 200 ÷ 10 = 20 minutes. The dog runs the entire 20 minutes at 60 m / min, covering 60 × 20 = 1200 m in total, which matches option (d). ([math.stackexchange.com](https://math.stackexchange.com/questions/1280523/time-speed-and-distance?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2005 Science & Technology question?▼
The correct answer is option (d): 1200 metres. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2005, GS Paper 1, as Question 98. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.