Question

Ram and Sunil start from a fixed point. Ram moves 4 km to the South, then turns left and moves 3 km. Sunil moves 3 km towards West, then turns right and moves 4 km further. How far apart are they now ?

• A. 7 km
• B. 13 km
• C. 10 km
• D. 14 km

Answer 1

The Correct Option is C

To determine how far apart Ram and Sunil are, let's analyze their movements from a fixed starting point (assume it's at the origin of a coordinate system for simplicity).

Ram's Movement: 
1. Ram moves 4 km to the South. On a coordinate plane, this can be represented as a move from (0,0) to (0,-4).
2. Then Ram turns left and moves 3 km. Since he was facing South, turning left means moving East. Therefore, Ram moves from (0,-4) to (3,-4).

Sunil's Movement:
1. Sunil moves 3 km towards the West. On a coordinate plane, this means moving from (0,0) to (-3,0).
2. Then Sunil turns right and moves 4 km. Since he was facing West, turning right means moving North. Therefore, Sunil moves from (-3,0) to (-3,4).

Now, to find the distance between them, use the distance formula:

(3-(-3))2+(-4-4))2

Simplifying:
(6)2+(-8)2

36+64=100=10

Thus, Ram and Sunil are 10 km apart.