Question

7. A road map is given with a scale of
1:2,00,000. What is the actual distance
between the two buildings in kilometres.
if the distance on the map is 4.5 cm?
​

Answer 1

The scale of map is 1:2000000. What is the actual distance between two towns, if they are 4cm apart on the map?

One unit of length on the plan represents some number of same units of length on the ground,such as 1/1000,etc.

This Ratio of map distance to the corresponding ground distance is independent of units of measurement and is called representative fraction (R.F.).

The representative fraction can be very easily found for a given engineer’s scale.

If the scale is

R.F.= 1/2000000

=1/2x 10000x100

1cm=20000m

The scale of a map is given as= 1/2000000

Two town are 4 cm apart on the map.

the actual distance between two towns

=4x 20000

=80000 m

=80000/1000 Km

=80Km

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Answer 2

7. A road map is given with a scale of

1:2,00,000. What is the actual distance

between the two buildings in kilometres.

if the distance on the map is 4.5 cm?

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