The scale of a map is 1:3 x 107 . Two cities are 5cm apart on a map. Find the actual distance between them in km.
AS WE THAT IT IS AN EXAMPLE OF DIRECT PROPORTION (AS THE VALUE INCRESES THE OTHER VALUE ALSO INCREASES)
SO WE WIL USE X1/ Y1 = X2 /Y2
SO HERE X1 = 1 CM
Y1 = 3 * 10^7CM
X2 = 5CM
Y2 =WE HAVE TO FIND Y2
SO 1/3*10^7 = 5/Y2
SO 1(Y2 ) = 5(3*10^7) (BY CROSS MULTIPLICATION)
WE HAVE Y2 = 15*10^7 CM OR 150000000 CM
AS WE KNOW = THAT 100 cm =1m AND 1000m = 1 km SO 1 km = 100* 1000 cm = 100000cm
THEREFORE = 150000000 cm = 150000000/ 100000 km = 1500 km
SO THE ACTUAL DISTANCE BETWEEN THESE TWO CITIES IS 1500 km