All Exams Test series for 1 year @ ₹349 only
Question

Suresh walks 10 km North, then 6 km East, then 10 km South, then 2 km West. What is the shortest distance and in which direction is he from his starting point ?

The correct answer is
4 km East

Movement Analysis

To find Suresh's final position relative to his starting point, we analyze his movements along the North-South and East-West axes.

  • North-South Travel: Suresh walks 10 km North (+10 km) and then 10 km South (-10 km). The net displacement in the North-South direction is $10 \text{ km} - 10 \text{ km} = 0 \text{ km}$.
  • East-West Travel: Suresh walks 6 km East (+6 km) and then 2 km West (-2 km). The net displacement in the East-West direction is $6 \text{ km} - 2 \text{ km} = 4 \text{ km}$ East.

Final Displacement Calculation

Combining the net displacements:

  • Net North-South displacement = $0$ km.
  • Net East-West displacement = $4$ km East.

Suresh's final position is effectively 4 km East of his starting point. This net displacement represents the shortest distance and the direction from the start.

Result

The shortest distance from the starting point is 4 km, and the direction is East.

Was this answer helpful?

Important Questions from Direction and Distance

  1. Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?

  2. Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?

  3. According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?

  4. According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?

  5. According to the time by Rick's watch its quarter past eight. If the minute hand points towards the east, towards which direction would the hour hand point?

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App