Question

Johnson left for his office in his car. He drove 15 km towards North and then continued for 10 km towards West. He then turned to the south and covered 5 km. Further, he turned to the East and drove for 8 km. Finally, he turned right and drove 10 km.
How far and in which direction is he from his starting point?

• A. 2 km West
• B. 5 km East
• C. 3 km North
• D. 6 km South
• E. None of these

Answer 1

The correct option is A

2 km West

Clearly, Johnson drove 15 km from A to B northwards and then 10 km from B to C towards West. He then moves 5 km southwards from C to D and 8 km eastwards upto E. Finally, he turned right and moved 10 km upto F.

$\therefore$ A and F lie in the same straight line and F lies to the west of A.

So, Johnson's distance from the starting point A = AF = (BC - DE) = (10 - 8) km = 2 km