Multiple choice

A father and his son start from a point P with speeds of 16 km/hr. and 24 km/hr. respectively and reach another point Q. If his son starts 60 min after his father at P and reaches Q 60 min. before his father, what is the distance between P and Q? एक पिता और उसका पुत्र बिंदु P से क्रमशः 16 किमी/घं. और 24 किमी/घंटा की गति से चलकर बिंदु Q पर पहुंचते हैं। यदि उसका पुत्र अपने पिता से 60 मिनट बाद चलकर बिंदु P से Q तक पहुंचता है और वह अपने पिता से 60 मिनट पहले पहुंचता है, P और Q के बीच की दूरी क्या है?

  1. 86 km. 86 किमी.

  2. 72 km. 72 किमी.

  3. 94 km. 94 किमी

  4. 96 km. 96 किमी.

  5. None of these इनमें से कोई नहीं
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D Correct answer
Explanation

Let distance be d km. Father's time = d/16 hours. Son's time = d/24 hours. Son starts 60 minutes (1 hour) after father and arrives 60 minutes (1 hour) before father. So: Father's time - Son's time = 2 hours. Therefore: d/16 - d/24 = 2. Finding LCD: 3d/48 - 2d/48 = 2, so d/48 = 2, giving d = 96 km. The distance between P and Q is 96 km.

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