Question

The \[60\% \] length of a road is \[75km\]. How do you find the total length of the road​?

Answer 1

Hint: To find the total length of the road, consider the given length of \[60\% \] that is \[75km\], hence by this we can find the total length of the road. Assume \[x\]km as the total length of the road and further taking the data provided find the value of \[x\].

Complete step-by-step solution:
Let us write the given data
As in question it is mentioned that \[60\% \]length of a road is \[75km\].
So, let us assume that the total length of the road is \[x\]km which implies the remaining \[40\% \]length of the road.
Hence, \[60\% \] of total length becomes
\[\left( {\dfrac{{60}}{{100}}} \right)x\]
\[ = 0.6x\]
Hence, by the given condition we can write
\[0.6x = 75\] ……………………… 1
As the distance of \[60\% \]length of a road is \[75km\].
Dividing both sides by 0.6 in equation 1 we get,
\[x = \dfrac{{75}}{{0.6}}\]
Therefore, the value of \[x\] is
\[x = 125km\]

Additional Information:
The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometers (km).
One hundred equal divisions of a meter give a centimeter. It is written as ‘cm’ i.e.,
\[1m = 100cm\]
One thousand equal divisions of km give a meter i.e.,
\[1km = 1000m\]
Centimeters and millimeters help measure smaller lengths and meters and kilometres help measure larger lengths like distance.

Therefore, the value of \[x\] is \[x = 125km\]

Note: Length is the term used for identifying the size of an object or distance from one point to Length is a measure of how long an object is or the distance between two points. To find the total length of the road, key point is to consider the given length and find the total length.