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UPSC Prelims

Mathematics

Theme:

Speed, Time and Distance / गति, समय और दूरी

Q34 2015, Speed, Time and Distance

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

500 मीटर की दौड़ में, B, A से 45 मीटर आगे से प्रारम्भ करता है, लेकिन A दौड़ जीत जाता है जबकि B अभी भी 35 मीटर पीछे रहता है। यह मानते हुए कि दोनों एक ही समय दौड़ना प्रारम्भ करते हैं, A की चाल का B की चाल से, अनुपात क्या है ?

Explanation Please wait..

Here, time is constant.

⸫ Speed Distance

Now, distance covered by A = 500 m

and distance covered by B = 500 - (45 + 35)

= 500 - 80 = 420

⸫ Required ratio = 500 : 420 = 25 : 21

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