Multiple choice

Nikesh travels from his home to office at 4km/hr. and reaches his office 20 min late. If the Speed had been 6 km/hr. he would have reached 10 min early. Find the distance from his home to office?

  1. 8km

  2. 12km

  3. 6km

  4. 9km

  5. 11km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let d be the distance. Time difference is 30 minutes (0.5 hours). d/4 - d/6 = 0.5. Multiplying by 12 gives 3d - 2d = 6, so d = 6 km.

AI explanation

Let the exact time to reach the office be T hours; using the formula Time equals Distance divided by Speed, we get D by 4 equals T plus 20 by 60 and D by 6 equals T minus 10 by 60. Subtracting the second equation from the first gives D by 4 minus D by 6 equals 30 by 60, which simplifies to D by 12 equals 1 by 2. Solving for D gives a distance of 6 km. The distance from his home to office is 6 km.

Keep practicing — related questions