Question

A distance of 90 km between Jalandur and gurudsphur is represented a may by 3.0 cm.What is the actual distance between two citiesp Amritsar and partial.Is they are 7.5 cm apart on map

Answer 1

Heya !!

The data given to us is as below:

$\begin{center}\begin{tabular}{|| c | c | c ||}\cline{1-3} Actual \: Distance \: (km) & 90 & ? \\ [1ex] \cline{1-3} Distance \: On \: Map \: (cm) & 3.0 & 7.5 \\ [1ex] \cline{1-3}\end{tabular}\end{center}$

Now,

$\text{Let the actual distance between two cities that are 7.5 cm apart on the map be x . Then,}\\\\\begin{tabular}{|| c | c | c ||}\cline{1-3} Actual \: Distance \: (km) & 90 & x \\ [1ex] \cline{1-3} Distance \: On \: Map \: (cm) & 3.0 & 7.5 \\ [1ex] \cline{1-3} \end{tabular}\\\\\\\\\text{Since, this is a question of direct variation,}\\\\\dfrac{90}{3} = \dfrac{x}{7.5}\\\\\implies \dfrac{90 \times 75}{3 \times 10} = x\\\\\implies 25 \times 9 = x$

$\implies x = \large \underline{\boxed{\boxed{225 \: km}}}$

Hope it helps !!