Answer :
2 cm=1000 km
=> 1 cm=500 km
0.5 cm= 250 km
Therefore , 2.5 cm =1000 km+ 250 km=1250 km
=> 1 cm=500 km
0.5 cm= 250 km
Therefore , 2.5 cm =1000 km+ 250 km=1250 km
We know if the actual distance increases /decreases then distance in map increases/decreases.
Therefore.,
actual distance directly varies with the distance in the map .
[tex] So, \frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}} [/tex]
[tex] Here, \: x_{1} = 2\:cm ,\: y_{1} = 1000\:km \\
x_{2} = 2.5\:cm ,\: y_{2} = \red{?}\:km[/tex]
[tex] By \: substituting \: , \frac{2}{2.5} = \frac{1000}{y_{2}} [/tex]
[tex] \implies y_{2} = \frac{1000\times 2.5}{2}\\= 500\times 2.5 \\= 1250\:km [/tex]
Therefore.,
[tex] \red {Actual \: Distance }\green { = 1250\:km }[/tex]
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