Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?

50 metres
20 metres
10 metres
70 metres

Question

High School

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Answer :

RyanHarmon181 RyanHarmon181 · Answer 1 · 2023-08-26T14:27:23-04:00

Let's break down the problem step-by-step to find out how far Raj is from the starting point.

Raj starts at point [tex]X[/tex] and travels 80 metres straight to point [tex]Y[/tex].
He then turns right and walks 50 metres to point [tex]Z[/tex].
Next, he turns right again and walks 70 metres to point [tex]W[/tex].
Finally, he turns right once more and walks 50 metres, reaching point [tex]R[/tex].

Now, let's visualize and analyze his path:

The path from [tex]X[/tex] to [tex]Y[/tex] is 80 metres.
The path from [tex]Y[/tex] to [tex]Z[/tex] is perpendicular and 50 metres.
The path from [tex]Z[/tex] to [tex]W[/tex] is parallel to [tex]X[/tex] to [tex]Y[/tex] but 70 metres (shorter by 10 metres than [tex]XY[/tex]).
The path from [tex]W[/tex] to [tex]R[/tex] is parallel to [tex]Y[/tex] to [tex]Z[/tex] and 50 metres, leading him back to where he originally started his last right turn.

Upon completion of his journey, Raj ends up walking 70 metres away from his starting point, [tex]X[/tex] directly.

Thus, the correct multiple-choice answer is 10 metres.