On a map with a scale of 1 : 300 000 the distance between Burnley and Blackburn is 5 5 - Maths - Ratio and Proportion

Question

On a map with a scale of 1 : 300 000 the distance between Burnley
and Blackburn
is 5 5 cm
(a) Find the distance between the two towns in km
(b) How far apart would the two towns be on a map with a scale of 1
: 50 000?

Shruti Tyagi · Accepted Answer

Dear Student,

on the map 1 cm represent 300000 cmhence 5
5 cm represents=5
5×300000=16,50,000 cmdistance in km1 km=1000 mtere1 meter=100 cmhence 1 km=100×1000 cm=100000 cm100000 cm=1 km16,50,000 cm=1100000×16,50,000=16510=16
5 km

b)
when the scale is 1:50000
then the two cities are
1 cm represents 50000 cmas the cities are 16,50000 cm aparthence on the map they will be 165000050000=33 cmHence the two towns will be 33 cm apart

Regards,

On a map with a scale of 1 : 300 000 the distance between Burnley and Blackburn is 5.5 cm. (a) Find the distance between the two towns in km. (b) How far apart would the two towns be on a map with a scale of 1 : 50 000?

On a map with a scale of 1 : 300 000 the distance between Burnley and Blackburn
is 5.5 cm.
(a) Find the distance between the two towns in km.
(b) How far apart would the two towns be on a map with a scale of 1 : 50 000?