Question : Directions: 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 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 at the same speed, what is the distance between us at this point?
Option 1: 50 m
Option 2: 20 m
Option 3: 30 m
Option 4: 40 m
Correct Answer: 20 m
Solution : Firstly, we will draw the diagram as per the given instructions –
In the above figure, the friend is denoted by A and I is denoted by F.
Here, AF = 100 m; CD = BE = 20 m
Total distance covered by a friend ⇒ AB + BC + CD + DE
⇒ 30 + 10 + 20 + 10 = 70 m
Total distance covered by me = EF = 50 m
So, we walk at the same speed, then the distance between us at point E –
⇒ total distance covered by a friend – total distance covered by me
⇒ 70 – 50 = 20 m
So, the total distance between us is 20 m. Hence, the second option is correct.
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