Question

To go from A to B, Ram goes $5$ mi south, $6$ mi east, $7$ mi south, and $2$ mi west to reach B; Shyam chooses the shortest path to reach B from A. What is the total distance travelled by two?

• A. $32.65$
• B. $33.42$
• C. $34.00$
• D. $34.42$

Answer 1

The correct option is A $32.65$

Ram goes $5$ mi south, $6$ mi east, $7$ mi south and $2$ mi west.

This implies that the place B is indirectly $12$ mi south and $4$ mi east to the place A.

So, if Shyam went directly from A to B along a straight line path, the distance would be $\sqrt{144+16}=12.65$ mi.

Ram covered the distance of $5+6+7+2=20$ mi.

In total, they covered a distance of $32.65$ mi.