A surveyor measured the distance between two points on a plan drawn to a scale of 1 cm = 50 m and the result was 500 m. Later, however, he discovered that he used a scale of 1 cm = 25 m. Find the true distance between the points.

Question

Question

This question was previously asked in

BHEL Engineer Trainee Civil 24 Aug 2023 Official Paper

Answer 1

Concept:

Representative Factor = Map distance / ground distance

Corrected length = (R.F of wrong scale/R.F of corrected scale) × Measured length

Calculation:

Given: Original scale, 1 cm = 50 m, Wrong scale, 1 cm = 25 m, and Measured length = 500 m

R.F of wrong scale ⇒ 1 cm → 25 m ⇒ 1/2500

R.F of corrected scale ⇒ 1 cm → 50 m ⇒ 1/5000

Corrected length = ((1/2500)/(1/5000)) × 500 = 1000 m.