The scale of a map is given as 1:3×107. Two cities are 5 cm apart on the map. The actual distance
between them is
(a) 15

[tex]\huge \fbox \pink{Solution:}[/tex]

Given:

[tex]1:3 \times {10}^{7} [/tex]

[tex]Let \: Actual \: Distance \: two \: Cities \: = x[/tex]

[tex]⇒ \frac{1}{3 \times {10}^{7} } = \frac{5 \: cm}{x} [/tex]

[tex]⇒1 \times x = 5 \times 3 \times {10}^{7} [/tex]

[tex]⇒x = 15 \times {10}^{7} \: cm[/tex]

[tex]⇒1 \: cm = {10}^{ – 5} \: km[/tex]

[tex]⇒x = 15 \times {10}^{7} \times {1 0 }^{ – 5 \: } km[/tex]

[tex]⇒x = 15 \times {10}^{7 – 5} \: km[/tex]

[tex]⇒x = 15 \times {10}^{2} \: km[/tex]

[tex]: \: x = 1500 \: km[/tex]

Actual Distance Between two Cities is 1500km.

[tex] \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}[/tex]

and thanks