Multiple choice

Let from points P and Q, two car A and B starts travelling towards each other at a speed of 50 km/hr and 40 km/hr respectively. When both the car meets at a point, the first car A has covered the distance of 100 km more than the second car B. What is the total distance between P and Q?

  1. 500 km

  2. 630 km

  3. 660 km

  4. 900 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let t be the time until they meet. Distance A = 50t, Distance B = 40t. 50t = 40t + 100 => 10t = 100 => t = 10 hours. Total distance = 50t + 40t = 90t = 900 km.

AI explanation

Since the cars are traveling for the same amount of time until they meet, the ratio of their speeds equals the ratio of the distances covered. Car A covers 100 km more than car B, so the speed difference of 10 km/hr corresponds to a distance difference of 100 km, meaning they travel for 10 hours. The total distance between P and Q is the sum of the distances covered by both cars in 10 hours, which is (50 + 40) multiplied by 10, equaling 900 km.

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