Question

The scale of a map is given as 1:3x107. Two cities are 5 cm apart on the map. The actual distance
between them is
(a) 1500 mm
(b) 1500 cm
(c) 1500 metre
(d) 1500 kilometre​

Answer 1

$\huge \fbox \pink{Solution:}$

Given:

$1:3 \times {10}^{7}$

$Let \: Actual \: Distance \: two \: Cities \: = x$

$⇒ \frac{1}{3 \times {10}^{7} } = \frac{5 \: cm}{x}$

$⇒1 \times x = 5 \times 3 \times {10}^{7}$

$⇒x = 15 \times {10}^{7} \: cm$

$⇒1 \: cm = {10}^{ - 5} \: km$

$⇒x = 15 \times {10}^{7} \times {1 0 }^{ - 5 \: } km$

$⇒x = 15 \times {10}^{7 - 5} \: km$

$⇒x = 15 \times {10}^{2} \: km$

$: \: x = 1500 \: km$

Actual Distance Between two Cities is 1500km.

$\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

and thanks