40 किमी/तास वेगाने गाडी चालवणा एकरी व्यक्ती कार्यालयात 1 मिनिट लवकर पोहोचते, तर 36 किमी/तास वेगाने गाडी चालवल्यास ती 3 मिनिटे उशिरा पोहोचते. तिने कापलेले अंतर (किमी मध्ये) किती आहे?

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RRB ALP CBT I 17 Aug 2018 Shift 2 Official Paper
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  1. 32
  2. 28
  3. 24
  4. 30

Answer (Detailed Solution Below)

Option 3 : 24
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दिलेल्याप्रमाणे:

40 किमी/तास वेगाने गाडी चालवणारी एक व्यक्ती कार्यालयात 1 मिनिट लवकर पोहोचते, तर 36 किमी/तास वेगाने गाडी चालवल्यास ती 3 मिनिटे उशिरा पोहोचते.

वापरलेली संकल्पना:

1. 1 मिनिट = 60 सेकंद

2. अंतर = वेग × वेळ

३. 1 मी/से = 18/5 किमी/तास

4. 1 किमी = 1000 मीटर

गणना:

40 किमी/तास = 40 × 5/18 = 100/9 मी/सेकंद

36 किमी/तास = 36 × 5/18 = 10 मीटर/सेकंद

3 मिनिटे = 180 सेकंद

अंतर D मीटर मानू 

प्रश्नानुसार,

\(\frac {D}{10} - \frac {D}{\frac {9}{100}} = 180 + 60\)

⇒ \(\frac {D}{10} - \frac {9D}{100} = 240\)

⇒ \(\frac {D}{100} = 240\)

⇒ D = 24000

आता, अंतर = 24000 ÷ 1000 = 24 किमी

∴ तिने कापलेले अंतर 24 किमी आहे.

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