Multiple choice

If I walk at 8 km/hr, I will reach 1 hour early and if I walk at 6 km/hr, I will be 4 hours late. Find the distance between the starting point and the end point. If I want to reach the destination at the right time, find the speed at which I should walk.

  1. 240 kms , 7.5 km/hr

  2. 120 kms , 7.5 km/hr

  3. 120 kms, 8 km/hr

  4. 240 kms, 2 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. D/8 = T - 1, D/6 = T + 4. D = 8(T-1) = 6(T+4) => 8T - 8 = 6T + 24 => 2T = 32 => T = 16. D = 8(15) = 120 km. Correct time = 16 hours. Speed = 120 / 16 = 7.5 km/hr.

AI explanation

Let the correct time be t hours; the equations are distance equals 8 multiplied by t minus 1 and distance equals 6 multiplied by t plus 4. Setting them equal gives 8t minus 8 equals 6t plus 24, so t is 16 hours and the distance is 120 km. To reach in exactly 16 hours, the required speed is 120 divided by 16, which equals 7.5 km/hr.

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