Multiple choice

A man starts from a place Punjab and reaches the place Delhi in 19 hours. He travels (\frac{1}{3}) of the distance at 12 km/hr and the remaining distance at 14 km/hr find the distance between Punjab and Delhi ?

  1. 84 km

  2. 82 km

  3. 252 km

  4. 102 km

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be D. Time for first third: (D/3) ÷ 12 = D/36 hours. Time for remainder (2D/3): (2D/3) ÷ 14 = 2D/42 = D/21 hours. Total: D/36 + D/21 = 7D/252 + 12D/252 = 19D/252 = 19 hours. Solving: D = 252 km.