Multiple choice

Mr. Y travelled continuously for 4 hours at the speed of 35 km/hr and for 6 hours at the speed of 55 km/hr. At the end, he finds out that he has covered 3/5th of the total distance. At what average speed should he travel to cover the remaining distance in 5 hours?

  1. 87 km/hr

  2. 15.6 km/hr

  3. 156 km/hr

  4. 62.66 km/hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Distance 1 = 4 * 35 = 140. Distance 2 = 6 * 55 = 330. Total distance covered = 470. This is 3/5 of total, so total = 470 * 5/3 = 783.33. Remaining distance = 783.33 - 470 = 313.33. Speed = 313.33 / 5 = 62.66 km/hr.

AI explanation

Calculate the distance already traveled using the formula Distance equals Speed multiplied by Time, which is 35 times 4 plus 55 times 6 giving 140 plus 330 for a total of 470 km. Since this is 3/5 of the total distance, the overall distance is 470 times 5 divided by 3 which equals 783.33 km. The remaining distance is 783.33 minus 470 which is 313.33 km. Using the average speed formula, the required speed is 313.33 divided by 5 which equals 62.66 km/hr.

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