सरासरी 45 किमी/तास वेगाने एक ट्रेन वेळेवर आपल्या गंतव्यस्थानी पोहोचते. जर ट्रेन सरासरी 30 किमी/तास वेगाने धावली, तर ट्रेनला 15 मिनिटे उशीर हाेताे. एकूण प्रवास किती आहे?

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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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Detailed Solution

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दिलेल्याप्रमाणे:

वास्तविक वेग = 45 किमी/तास

कमी झालेला वेग = 30 किमी/तास

वापरलेले सूत्र:

एकूण अंतर = \(\frac{(S_1 × S_2)}{S_1-S_2} \times (T_1+T_2)\)

येथे,

S1 = वास्तविक वेग

S2 = कमी झालेला वेग

T1 = वेळ1

T2 = वेळ2

गणना:

संकल्पनेनुसार,

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

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

⇒ 22.5 किमी

∴ A आणि B मधील अंतर 22.5 किमी आहे.

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