Rahul and Mithun cover a distance of 30 km. The sum of…
Rahul and Mithun cover a distance of 30 km. The sum of their speeds is 70 km/h and the total time taken by both of them to cover this distance is 2 hours 6 minutes. The difference between their speeds is:
राहुल और मिथुन प्रत्येक 30 किमी की दूरी तय करते हैं। उनकी चालों का योग 70 किमी/घंटा है तथा दोनों द्वारा इस दूरी को तय करने में लिया गया कुल समय 2 घंटे 6 मिनट है। उनकी चालों का अंतर ज्ञात कीजिए।
Detailed Solution & Logic
30 km/h
Solution
मान लेते हैं दोनों की चालें $x$ और $y$ km/h हैं।
दिया है:
x+y=70
कुल समय = 2 घंटे 6 मिनट = $2.1$ घंटे
इसलिए,
$\frac{30}{x}+\frac{30}{y}=2.1$
$30(x+y)=2.1xy$
$30(70)=2.1xy$
xy=1000
अब,
$(x-y)^2=(x+y)^2-4xy$
$=(70)^2-4(1000)$
=4900-4000=900
इसलिए,
$x-y=30$
उत्तर: 30 km/h
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