Question

Ravi traveled $4$ km straight towards South. He turned left and traveled $6$ km straight, then turned right and traveled $4$ km straight. How far is he from the starting point?

• A. $8$ km
• B. $10$ km
• C. $12$ km
• D. None of these

Answer 1

Answer: (B)

$10$ km

As per the given statement,

Ravi starts from A and moves along the route A-B-E-C-D

D is the finishing point and to calculate AD:

we have BE = EC = (6/2) = $3$ km

so using Pythagoras theorem, in the $△$ ABE:

$A{B}^2+B{E}^2=A{E}^2$
$4^2+3^2=A{E}^2$
$AE=5$ Km

Similarly, in $△$ ECD,

ED = $5$ km

and AD = AE + ED = $5$ + $5$ = $10$ km

option B