Multiple choice

Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rickshaw. The speed of car and rickshaw is 20 km/hr and 12 km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are

  1. 2 : 3

  2. 4 : 5

  3. 1 : 1

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let d1 be distance by car and d2 by rickshaw. d1 + d2 = 150 and d1/20 + d2/12 = 10. Substituting d2 = 150 - d1: d1/20 + (150 - d1)/12 = 10. Multiply by 60: 3d1 + 5(150 - d1) = 600 => 3d1 + 750 - 5d1 = 600 => 2d1 = 150 => d1 = 75. Then d2 = 75. Ratio is 75:75 = 1:1.

AI explanation

Assume the distance covered by car is x km and the distance covered by rickshaw is (150 - x) km. Using the Time = Distance / Speed formula, the total time is (x / 20) + ((150 - x) / 12) = 10. Multiplying by 60 gives 3x + 750 - 5x = 600, which simplifies to 2x = 150, so x = 75 km. Both distances are 75 km, making the ratio 1:1.

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