Multiple choice

A man cycles to his office from his house at a speed of 5 km/h and reaches 10 minutes late. If he cycles at a speed of 6 km/h, he reaches 10 minutes early. What is the distance between the office and his house?

  1. 40 km

  2. 20 km

  3. 35 km

  4. 10 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D. D/5 - D/6 = 20/60 hours. D/30 = 1/3. D = 10 km.

AI explanation

Let the required distance be d kilometers. Since 10 minutes is one-sixth of an hour, the time difference equation is (d divided by 5) minus (d divided by 6) equals (1 divided by 6) plus (1 divided by 6). This simplifies to d divided by 30 equals 1 divided by 3, so d equals 10 km.

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