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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 10 m, then the turns right and goes 20 m and 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
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
My friend and I started simultaneously towards each other from two pla...
Suppose my friend starts from P and I start from X, PX = 100 m, and walk with the same speed

- My friend walks 30 m reaches Q.
- At Q, he turns left, walks 10 m, and reaches R. At R he turns right walks 20 m, and reaches S.
- At S, he turns right and meets the road at T so that ST = 10 m. This means he has travelled 30 + 10 + 20 + 10 = 70 m.
- Since I am also travelling with the same speed so I have covered 70 m (XT + TQ) in the same time and reached Q
Hence, distance between us = TQ = RS = 20 m
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Most Upvoted Answer
My friend and I started simultaneously towards each other from two pla...
Given information:
- 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 10 m, then turns right and goes 20 m and turns right again and comes back to the road on which he had started walking.
- We walk with the same speed.

To find: distance between us at this point of time

Solution:
Let's assume that I walk towards the right side of the road and my friend walks towards the left side of the road.

- After walking 30 m, my friend turns left and goes 10 m. At this point, my friend is 70 m away from me.
- Then, my friend turns right and goes 20 m. Now, my friend is facing towards me and has covered a distance of 30 + 10 + 20 = 60 m.
- Then, my friend turns right again and comes back to the road on which he had started walking. At this point, my friend is 40 m away from me (100 m - 60 m).

We can create a right-angled triangle with sides of 40 m, 70 m, and the distance between my friend and me as the hypotenuse. Using the Pythagorean theorem, we can find the distance between my friend and me.

Distance between my friend and me = √[(70)^2 + (40)^2] ≈ 81.65 m

Therefore, the distance between us at this point of time is approximately 81.65 m.

Answer: Option (B) 20 m (incorrect)
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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 10 m, then the turns right and goes 20 m and 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 Correct answer is option 'B'. Can you explain this answer?
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