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A Child Went 90m Towards East and then He Turned Right and Went 20m. Subsequently, He Turned Right and after Going 30m He Reached His Uncle’s House. From there He Went 100m to His North. Determine How Far He is from His Starting Point.

A child went 90m towards East.

  • He turned Right and went 20m.
  • He turned right and after going 30m he reached his uncle’s house.
  • From there he went 100m to his north.
  • Distance from his starting point can be figure out in this way.

Note: This question was asked in Competitive Examination (CSS) – 2021 General Science & Ability under Section – B [Q. 7. (a)].

Explanation

Following things are needed to discuss here.

  • Directions i.e. East, West, North and South.
  • Distance travelled according to map.
  • Distance from starting point.

Following things are given.

  • Child went 90m in the direction of East, first of all.
  • Takes turn twice to his right before reaching uncle’s home and covers distance 20 and 30m respectively.
  • Finally, he travels 100m in north from uncles home.

After drawing a picture (according to the given values), we can easily figure out the distance from the starting point by calculating the value of hypotenuse by the Pythagoras theorem.

To Find

Distance from starting point = ?

A child went 90m towards East and then turned Right and went 20m. From uncle's house he walked 100m. He is 100m away from his starting point.
A child went 90m towards East and then turned Right and went 20m. From uncle’s house he walked 100m. He is 100m away from his starting point.

Solution

Let suppose the distance from starting point = y

By using the Pythagoras theorem,

y2 = (80)2 + (60)2

y2 = 6400 + 3600

y2 = 10,000

y = 100m

Distance from the starting point = 100m answer

Conclusion

A child went 90m towards East and then he turned Right and went 20m. Subsequently, he turned right and after going 30m he reached his uncle’s house. From there he went 100m to his north. He is 100m away from his starting point.

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