Question

Mr. Raghav went in his car to meet his friend John. He drove 30 km towards north and then 40 km towards west. He then turned to south and covered 8 km. Further he turned to east and moved 26 km. Finally he turned right and drove 10 km and then turned left to travel 19 km. How far and in which direction is he from the starting point?
(1) East of starting point, 5 km
(2) East of starting point, 13 km
(3) North-East of starting point, 13 km
(4) North-East of starting point, 5 km

Answer 1

13 km is the starting point

Answer 2

Answer:

North-East of starting point, 13 km

Step-by-step explanation:

See attachment

Find the horizontal distance of the end point from the start point:

26 + 19 - 40 = 5 km

Find the vertical distance of the end point from the start point:

30 - 8 - 10 = 12 km

Find the distance between the start point and end point:

a² + b² = c²

c² = 5² + 12²

c² = 169

c = √169

c = 13 km

Answer: (3) North-East of starting point, 13 km