Multiple choice

A man starts from his home and moves towards East. After walking 3 kilometres, he finds one of his friends. The man sits in his friends car and moves towards North with a speed of 40 km/hr. In 6 minutes, they reach his friends home. Find the distance between their homes.

  1. 5 km

  2. 9 km

  3. 6 km

  4. 8 km
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A Correct answer
Explanation

The man travels 3 km East. Then he travels North at 40 km/hr for 6 minutes. Distance North = 40 * (6/60) = 4 km. The total displacement from the start is the hypotenuse of a right triangle with legs 3 and 4, which is sqrt(3^2 + 4^2) = 5 km.

AI explanation

The friends travel north in the car for 6 minutes, which is 6/60 or 0.1 hours. Using the formula Distance equals Speed multiplied by Time, the distance covered in the car is 40 km/hr multiplied by 0.1 hours, resulting in 4 km. The man initially walked 3 km east and then traveled 4 km north, forming a right-angled triangle where the distance between their homes is the hypotenuse. Applying the Pythagorean theorem, the hypotenuse is the square root of (3 squared plus 4 squared), which is 5 km.

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