Question

My friend and I started simultaneously towards each other from two places 100 m apart. After walking 30 m, my friend turns left and goes 10m, then he turns right and goes 20 m and then turns right again and comes back to the road on which he had started walking. If we walk with the same speed, what is the distance between us at this point of time?

A. 50 m
B. 20 m
C. 30 m
D. 40 m

Answer 1

After calculating the total distance both parties walk, and considering the initial distance apart was 100 m, the remaining distance between two friends after the walking described would be 40 m.

Step-by-step explanation:

The distance between you and your friend after he returns back to the road where he started from can be calculated by summing up the total distance he walked and subtracting it from the initial distance between the two of you. Here is how:

• You both start 100 m apart.
• Your friend walks 30 m towards you, leaving 70 m between you.
• He turns left and walks 10 m. This distance does not affect the distance between you.
• He turns right and walks 20 m. This distance also does not affect the distance between you.
• He turns right again and walks back 10 m towards the road, reaching the original line of motion.
• Since both of you walk with the same speed, and your friend walked 60 m (30 m towards you, 10 m left, 20 m right, and 10 m back), you also would have walked 60 m towards him.

Thus, the distance between you would be the remaining 40 m (100 m - 60 m from your friend's start - 60 m from your start).

The correct answer is 40 m, which corresponds to option D.