Question

A distance of 500 km between two cities raipur &rajmundri is presented on the map by 5 cm. What is the actual distance between the cities if they are 8 cm apart on the map

Answer 1

We know that the ratio will be as follows.

$\texttt{Actual distance : Distance on map}$

$\texttt{500km : 5cm}$

According to the question, we know that the distance between Raipur and Rajmundri is 8cm on the map. So we have to write this in the form of a ratio.

$\texttt{ 500km : 5cm}$

$\texttt{ x km : 8cm}$

To obtain the actual distance we can use the L-method. Here we have to multiply 500km with 8cm and the product shall be divided by 5cm later on.

$(500 \times 8) \div 5$

$4000\div5$

$800$

∴ The actual distance between the cities is 800km if they are 8cm apart on the map.

Answer 2

$\bf \huge \red{answer : }$

$\bf \underline \green{ \: leave \: the \: values \: in \: ratio \: form \: }$

Actual distance: Distance on map

500 km:5cm

According to the question the distance between the cities is 8 cm on the map so we write it down as a ratio

500km : 5 cm

?km: 8 cm

To find the actual distance we can use the The limited this means that 500 km is multiplied with 8 cm when divided by 5 cm if the result is

(500×8)/5=800

$\bf \underline \pink{hence \: the \: actual \: distance \: is \: 800 \: km \: if \: the \: cities \: are \: 8 \: cm \: apart \: on \: the \: map}$