जर एखादी गाडी 36 किमी/तास वेगाने धावली तर ती 85 मिनिटांत एक विशिष्ट अंतर कापते. प्रवासाचा वेळ 51 मिनिटांपर्यंत कमी करण्यासाठी गाडीला किती वेगाने धावावे लागेल?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 04 Jul, 2024 Shift 3)
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  1. 70 किमी/ताशी
  2. 50 किमी/ताशी
  3. 60 किमी/ताशी
  4. 80 किमी/ताशी

Answer (Detailed Solution Below)

Option 3 : 60 किमी/ताशी
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Detailed Solution

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दिलेल्याप्रमाणे:

सुरुवातीचा वेळ (t1) = 85 मिनिटे

सुरुवातीचा वेग (s1) = 36 किमी/तास

कमी केलेला वेळ (t2) = 51 मिनिटे

वापरलेले सूत्र:

अंतर (d) = वेग × वेळ

गणना:

वेळेचे मिनिटांपासून तासांमध्ये रूपांतर करा:

t1 = 85  मिनिटे = \(\dfrac{85}{60}\) तास

t2 = 51 मिनिटे = \(\dfrac{51}{60}\) तास

अंतर मोजा:

d = s1 × t1

⇒ d = 36 × \(\dfrac{85}{60}\)

⇒ d = 36 × 14167

⇒ d = 51 किमी

नवीन गतीची गणना करा (s2):

s2 = \(\dfrac{d}{t_2}\)

⇒ s = \(\dfrac{51}{\dfrac{51}{60}}\)

⇒ s 2 = 60 किमी/तास

∴ योग्य उत्तर पर्याय (3) आहे.

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