Question 23

Mr Raghav went in his car to meet his friends John. He Drove 30 kms towards north and then 40 kms towards west. He then turned to south and covered 8 kms. Further he turned to east and moved 26 kms. Finally he turned right and drove 10 kms and then turned left to travel 19 kms. How far and in which direction is he from the starting point?

Name: Mr Raghav went in his car to meet his friends John. He Drove 30 kms towards north and then 40 kms towards west. He then turned to south and covered 8 kms. Further he turned to east and moved 26 kms. Finally he turned right and drove 10 kms and then turned left to travel 19 kms. How far and in which direction is he from the starting point?
Uploaded: May 6, 2022, 5:54 p.m.
Duration: 2 min 9 s
Description: Mr Raghav went in his car to meet his friends John. He Drove 30 kms towards north and then 40 kms towards west. He then turned to south and covered 8 kms. Further he turned to east and moved 26 kms. Finally he turned right and drove 10 kms and then turned left to travel 19 kms. How far and in which direction is he from the starting point?

Solution

We can draw a direction diagram according to the problem statement.

Net displacement in the east direction = 26 + 19 - 40 = 5 km.

Net displacement in the north direction = 30 - 8 - 10 = 12 km.

Hence, net distance from the starting point = $$\sqrt{12^2+5^2}$$ = 13 km.

Therefore, option C is the correct answer.

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