एक रेलगाड़ी 45 किमी/घंटा की औसत गति से अपने गंतव्य स्थान पर समय पर पहुँचती है। यदि यह 30 किमी/घंटा की औसत गति से चलती है, तो यह 15 मिनट देरी से पहुँचती है। कुल दूरी कितनी है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 20.5 किमी
  2. 40.5 किमी
  3. 22.5 किमी
  4. 30.5 किमी

Answer (Detailed Solution Below)

Option 3 : 22.5 किमी
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दिया गया है:

वास्तविक गति = 45 किमी/घंटा

घटी हुई गति = 30 किमी/घंटा

प्रयुक्त सूत्र:

कुल दूरी = \(\frac{(S_1 × S_2)}{S_1-S_2} \times (T_1+T_2)\)

यहाँ,

S1 = वास्तविक गति

S2 = घटी हुई गति

T1 = समय 1

T2 = समय 2

गणना:

अवधारणा के अनुसार,

कुल दूरी = \(\frac{(45 × 30)}{45-30} \times (0+\frac{1}{4})\)

⇒ \(\frac{(1350)}{15} \times \frac{1}{4}\)

⇒ 22.5 किमी

A और B के बीच की दूरी 22.5 किमी है।

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