Question

The scale of a map is 13 x 107 . Two cities are 5cm apart on a map. Find the actual distance between them in km.

Answer 1

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SOLUTION:--

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

Answer 2

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

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