Multiple choice

Saket travelled from home to a resort at a speed of 55 km/h. While returning via the same route, he got stuck in traffic and his travelling time extended by half an hour. The speed at which he was returning was 66 km/h. Find the total distance covered by him.

  1. 242 km

  2. 165 km

  3. 330 km

  4. 484 km

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

Let distance be D. Time1 = D/55, Time2 = D/66. Given D/55 - D/66 = 0.5. (6D - 5D) / 330 = 0.5. D/330 = 0.5, so D = 165 km. The total distance covered (round trip) is 165 * 2 = 330 km.

AI explanation

Let the one-way distance be x kilometres. The difference in time between the onward and return journeys is half an hour, leading to the equation (x divided by 55) minus (x divided by 66) equals 0.5. Solving this, x multiplied by (6 minus 5) divided by 330 equals 0.5, so x equals 165 km. The total distance covered is the onward and return trips combined, which is 2 multiplied by 165, resulting in 330 km.

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